2024-03-29T09:03:35Zhttps://idus.us.es/oai/requestoai:idus.us.es:11441/451732024-02-13T08:46:54Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2016-09-21T07:01:49Z
2016-09-21T07:01:49Z
2013-06
Castro Martínez, Á., Córdoba Gazolaz, D., Fefferman, C.L. y Gancedo García, F. (2013). Breakdown of smoothness for the Muskat problem. Archive for Rational Mechanics and Analysis, 208 (3), 805-909.
0003-95271432-0673
http://hdl.handle.net/11441/45173
10.1007/s00205-013-0616-x
https://idus.us.es/xmlui/handle/11441/45173
In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down, i.e., no longer belongs to C4.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Breakdown of smoothness for the Muskat problem
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45173/1/Breakdown%20of%20smoothness%20for%20the%20Muskat%20problem.pdf
File
MD5
ada0575ecb3ff8fdd9ac4e95756fe75d
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application/pdf
Breakdown of smoothness for the Muskat problem.pdf
oai:idus.us.es:11441/452722024-02-12T21:43:47Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2016-09-22T10:25:20Z
2016-09-22T10:25:20Z
1990
Ayerbe Toledano, J.M., Domínguez Benavides, T. y López Acedo, G. (1990). Connections between some measures of non-compactness and associated operators. Extracta mathematicae, 5 (2), 62-64.
0213-8743
http://hdl.handle.net/11441/45272
https://idus.us.es/xmlui/handle/11441/45272
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the d-separation of the points of a set are studied in special classes of Banach spaces. These relations are applied to compare operators which are contractive for these measures.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Connections between some measures of non-compactness and associated operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45272/1/Connections%20between%20some%20measures%20of%20non-compactness%20and%20associated%20operators.pdf
File
MD5
9d8068bb30194018c0aac73212185379
208979
application/pdf
Connections between some measures of non-compactness and associated operators.pdf
oai:idus.us.es:11441/1444102024-02-17T16:56:53Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2023-04-14T12:11:56Z
2023-04-14T12:11:56Z
2021-06-08
Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2021). Compactification, and beyond, of composition operators on Hardy spaces by weights. Annales Fennici Mathematici, 46 (1), 43-57. https://doi.org/10.5186/aasfm.2021.4602.
2737-06902737-114X
https://hdl.handle.net/11441/144410
10.5186/aasfm.2021.4602
We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and when it can be in Schatten classes. The
q-summing case in Hp is considered. We also study when this multiplication can turn a compact composition operator into a non-compact one.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Approximation numbers
composition operator
compactification
decompactification
Hilbert-Schmidt operator
p-summing operators
Schatten classes
Compactification, and beyond, of composition operators on Hardy spaces by weights
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/144410/1/Compatification.pdf
File
MD5
21c98159261f7b587909a5150b6a8b43
230158
application/pdf
Compatification.pdf
oai:idus.us.es:11441/451782024-02-13T20:23:28Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2016-09-21T07:41:49Z
2016-09-21T07:41:49Z
2010-11
Castro Martínez, Á., Córdoba Gazolaz, D. y Gancedo García, F. (2010). Singularity formations for a surface wave model. Nonlinearity, 23 (11), 2835-2847.
0951-77151361-6544
http://hdl.handle.net/11441/45178
10.1088/0951-7715/23/11/006
https://idus.us.es/xmlui/handle/11441/45178
In this paper we study the Burgers equation with a nonlocal term of the form Hu where H is the Hilbert transform. This system has been considered as a quadratic approximation for the dynamics of a free boundary of a vortex patch (see Biello and Hunter 2010 Commun. Pure Appl. Math. LXIII 0303-36; Marsden and Weinstein 1983 Physica D 7 305–23). We prove blow up in finite time for a large class of initial data with finite energy. Considering a more general nonlocal term, of the form ΛαHu for 0 < α < 1, finite time singularity formation is also shown.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Singularity formations for a surface wave model
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45178/1/Singularity%20formations%20for%20a%20surface%20wave%20model.pdf
File
MD5
dc4a3150195856aa5bf3c00634ffb6d6
140931
application/pdf
Singularity formations for a surface wave model.pdf
oai:idus.us.es:11441/457222024-02-14T19:06:47Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2016-09-27T06:49:05Z
2016-09-27T06:49:05Z
2007-03
Bernal González, L., Bonilla Ramírez, A.L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2007). Maximal cluster sets of L-analytic functions along arbitrary curves. Constructive Approximation, 25 (2), 211-219.
0176-42761432-0940
http://hdl.handle.net/11441/45722
10.1007/s00365-006-0636-5
https://idus.us.es/xmlui/handle/11441/45722
Let Ω be a domain in the N-dimensional real space, L be an elliptic
differential operator, and (Tn) be a sequence whose members belong to a certain class of operators defined on the space of L-analytic functions
on Ω. It is proved in this paper the existence of a dense linear manifold of L-analytic functions all of whose nonzero members have maximal cluster sets under the action of every Tn along any curve ending at the boundary of Ω such that its ω-limit does not contain any component of the boundary. The above class contains all partial differentiation operators ∂ α, hence the statement extends earlier results due to Boivin, Gauthier and Paramonov, and to the first, third and fourth authors.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Maximal cluster set
L-analytic function
Ddense linear manifold
Admissible path
Elliptic operator
Internally controlled operator
Maximal cluster sets of L-analytic functions along arbitrary curves
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45722/1/Maximal%20cluster%20sets%20of%20L-Analytic%20functions%20along%20arbitrary%20curves.pdf
File
MD5
be4ddf936d6ad1ca411cfd349bf53a8f
193565
application/pdf
Maximal cluster sets of L-Analytic functions along arbitrary curves.pdf
oai:idus.us.es:11441/430002024-02-14T20:37:23Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
funder
Ministerio de Economía y Competitividad (MINECO). España
2016-07-01T07:46:59Z
2016-07-01T07:46:59Z
2014
Arias de Reyna Martínez, J. y Van de Lune, J. (2014). On the exact location of the non-trivial zeros of Riemann’s zeta function. Acta Arithmetica, 163 (3), 215-245.
0065-10361730-6264
http://hdl.handle.net/11441/43000
10.4064/aa163-3-3
https://idus.us.es/xmlui/handle/11441/43000
In this paper we introduce the real valued real analytic function κ(t) implicitly
defined by
e
2πiκ(t) = −e
−2iϑ(t)
ζ
0
(
1
2 − it)
ζ
0(
1
2 + it)
, (κ(0) = −
1
2
).
By studying the equation κ(t) = n (without making any unproved hypotheses), we will
show that (and how) this function is closely related to the (exact) position of the zeros
of Riemann’s ζ(s) and ζ
0
(s). Assuming the Riemann hypothesis and the simplicity of the
zeros of ζ(s), it will follow that the ordinate of the zero 1/2 + iγn of ζ(s) will be the unique
solution to the equation κ(t) = n.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Zeta function
Non-trivial zeros
Distribution of zeros
On the exact location of the non-trivial zeros of Riemann’s zeta function
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/43000/1/On%20the%20exact%20location%20of%20the%20non-trivial%20zeros%20of%20Riemann%27s%20zeta%20function.pdf
File
MD5
d97c25049ace57faf611a6d9833a52c3
805584
application/pdf
On the exact location of the non-trivial zeros of Riemann's zeta function.pdf
oai:idus.us.es:11441/620242024-02-15T07:49:52Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Dirección General de Enseñanza Superior. España
funder
Junta de Andalucía
2017-07-05T10:38:55Z
2017-07-05T10:38:55Z
2000
Soriano Arbizu, J.M. (2000). Compact mappings and proper mappings between Banach spaces that share a value. Mathematica Balkanica, 14 (1-2), 161-166.
0205-3217
http://hdl.handle.net/11441/62024
Sufficient conditions are given to assert that differentiable compact mappings and differentiable proper mappings between Banach spaces share a value. The conditions involve Fredholm operators. The proof of the result is constructive and is based upon continuation methods.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Zero point
Continuation methods
C1-homotopy
Subjective implicit function theorem
Proper mapping
Compact mapping
Fredholm mapping
Compact mappings and proper mappings between Banach spaces that share a value
info:eu-repo/semantics/article
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
URL
https://idus.us.es/bitstream/11441/62024/1/Compact%20mappings%20and%20proper%20mappings%20between%20Banach%20spaces%20that%20share%20a%20value.pdf
File
MD5
d9fb58ce010025ac089da888d9ac0349
3686848
application/pdf
Compact mappings and proper mappings between Banach spaces that share a value.pdf
oai:idus.us.es:11441/484242019-04-03T05:49:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM260: Variable Compleja y Teoria de Operadores
funder
Ministerio de Ciencia y Tecnología (MCYT). España
funder
Junta de Andalucía
2016-11-10T10:59:34Z
2016-11-10T10:59:34Z
2010-01
Montes Rodríguez, A., Ponce Escudero, M. y Shkarin, S.A. (2010). Invariant subspaces of parabolic self-maps in the Hardy space. Mathematical Research Letters, 17 (1), 99-107.
1073-27801945-001X
http://hdl.handle.net/11441/48424
10.4310/MRL.2010.v17.n1.a8
https://idus.us.es/xmlui/handle/11441/48424
It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach algebra consists of the closed
ideals of this algebra. As an application, with the help of some elements of
the Gelfand Theory of Banach algebras, the lattice of invariant subspaces of
composition operators acting on the Hardy space, whose inducing symbol is a parabolic non-automorphism, is found. In particular, each invariant subspace always consists of the closed span of a set of eigenfunctions. As a consequence, such composition operators have no non-trivial reducing subspaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Lattices of invariant subspaces
Hardy spaces
Composition operators
Sobolev spaces
Banach algebras
Gelfand transform
Invariant subspaces of parabolic self-maps in the Hardy space
info:eu-repo/semantics/article
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
URL
https://idus.us.es/bitstream/11441/48424/1/Invariant%20subspaces%20of%20parabolic%20self-maps%20in%20the%20Hardy%20space.pdf
File
MD5
7a0511b481a6b8fa8ca3adeb3b6a66ce
234803
application/pdf
Invariant subspaces of parabolic self-maps in the Hardy space.pdf
oai:idus.us.es:11441/875102024-02-13T19:57:38Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-19T07:57:59Z
2019-06-19T07:57:59Z
2008-05-01
Bernal González, L., Calderón Moreno, M.d.C. y Luh, W. (2008). Large linear manifolds of non-continuable boundary-regular holomorphic functions. Journal of Mathematical Analysis and Applications, 341 (1), 337-345.
0022-247X
https://hdl.handle.net/11441/87510
10.1016/j.jmaa.2007.10.014
We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions then there exists a large (dense or closed infinite-dimensional) linear submanifold of boundary-regular holomorphic functions on G all of whose nonzero members are not continuable across any boundary point of G.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Non-continuable holomorphic function
Large linear manifold
Boundary-regular function
Faber transform
Universal sequence
Large linear manifolds of non-continuable boundary-regular holomorphic functions
info:eu-repo/semantics/article
RGVjbGFyYSBxdWU6CgphKSBFcyBhdXRvciB5IHRpdHVsYXIgZGUgbG9zIGRlcmVjaG9zIGRlIHByb3BpZWRhZCBpbnRlbGVjdHVhbC4KCgpiKSBTaSBleGlzdGUgcHJldmlhIGNlc2nDs24gYSB0ZXJjZXJvcyBkZSBsb3MgZGVyZWNob3MgZGUgZXhwbG90YWNpw7NuIGRlIGxhIG9icmEsIGN1ZW50YSBjb24gbGEgYXV0b3JpemFjacOzbiBkZSBkaWNob3MgdGl0dWxhcmVzLiAKCgpjKSBTaSBlbCBkb2N1bWVudG8gY29udGllbmUgbWF0ZXJpYWxlcyBkZSBsb3MgcXVlIG5vIGVzIHRpdHVsYXIgZGUgbG9zIGRlcmVjaG9zIGRlIGV4cGxvdGFjacOzbiwgIHRpZW5lIGVsIHBlcm1pc28gcGFyYSBkZXBvc2l0YXJsb3MgeSBxdWUgZXNlIG1hdGVyaWFsIGVzdMOhIGlkZW50aWZpY2FkbyBjbGFyYW1lbnRlLgoKCkVsIGF1dG9yIHJlYWxpemEgbGEgY2VzacOzbiBncmF0dWl0YSB5IG5vIGV4Y2x1c2l2YSBhIGxhIFVuaXZlcnNpZGFkIGRlIFNldmlsbGEgZGUgbG9zIGRlcmVjaG9zIGRlIHJlcHJvZHVjY2nDs24sIGRpc3RyaWJ1Y2nDs24sIGNvbXVuaWNhY2nDs24gcMO6YmxpY2EgeSB0cmFuc2Zvcm1hY2nDs247IHBlcm1pdGllbmRvIGFsIHJlcG9zaXRvcmlvOgoKCglUcmFuc2Zvcm1hY2nDs24gZGVsIGZvcm1hdG8gcGFyYSBzdSBpbmNvcnBvcmFjacOzbiB5IHByZXNlcnZhY2nDs24uCgoKCVJlcHJvZHVjY2nDs24geSBhcmNoaXZvICBlbiBsb3Mgc2Vydmlkb3JlcyBhc29jaWFkb3MgYWwgcmVwb3NpdG9yaW8uCgoKCVN1IGNvbXVuaWNhY2nDs24gcMO6YmxpY2EgeSBzdSBwdWVzdGEgYSBkaXNwb3NpY2nDs24gZGUgbW9kbyBsaWJyZSB5IGdyYXR1aXRvIGEgdHJhdsOpcyBkZWwgYXJjaGl2byBhYmllcnRvIGluc3RpdHVjaW9uYWwKCgpFbCBhdXRvciBhdXRvcml6YSBxdWUgbGEgb2JyYSBzZSBwb25nYSBhIGRpc3Bvc2ljacOzbiBkZSBsb3MgdXN1YXJpb3MgYSB0cmF2w6lzIGRlbCByZXBvc2l0b3JpbyBpbnN0aXR1Y2lvbmFsIHBhcmEgcXVlIHNlIGhhZ2EgdW4gdXNvIGp1c3RvLCByZXNwZXRhbmRvIGxvcyBkZXJlY2hvcyBkZSBhdXRvciBxdWUgbGEgbGVnaXNsYWNpw7NuIGVzdGFibGVjZSB5IGNvbmZvcm1lIGNvbiBsYXMgY29uZGljaW9uZXMgbWFyY2FkYXMgcG9yIGxhIGxpY2VuY2lhIGRlIHVzbwo=
URL
https://idus.us.es/bitstream/11441/87510/1/Large%20linear%20manifolds%20of%20non-continuable%20boundary-regular%20holomorphic%20functions.pdf
File
MD5
e2951860f20cb0437981ea82b2fcd343
272952
application/pdf
Large linear manifolds of non-continuable boundary-regular holomorphic functions.pdf
oai:idus.us.es:11441/452002024-02-13T20:06:48Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2016-09-21T11:13:09Z
2016-09-21T11:13:09Z
2010-01-15
Córdoba Barba, A., Córdoba Gazolaz, D. y Gancedo García, F. (2010). Interface evolution: water waves in 2-D. Advances in Mathematics, 223 (1), 120-173.
0001-87081090-2082
http://hdl.handle.net/11441/45200
10.1016/j.aim.2009.07.016
https://idus.us.es/xmlui/handle/11441/45200
We study the free boundary evolution between two irrotational, incompressible and inviscid fluids in 2-D without surface tension. We prove local-existence in Sobolev spaces when, initially, the difference of the gradients of the pressure in the normal direction has the proper sign, an assumption which is also known as the Rayleigh-Taylor condition. The well-posedness of the full water wave problem was first obtained by S. Wu. Well-posedness in Sobolev spaces of the full water wave problem in 2-D. Invent.
math. 130, 39-72, 1997. The methods introduced in this paper allows us to consider multiple cases: with or without gravity, but also a closed boundary or a periodic boundary with the fluids placed above and below it. It is assumed that the initial interface does not touch itself, being a part
of the evolution problem to check that such property prevails for a short time, as well as it does the Rayleigh-Taylor condition, depending conveniently upon the initial data. The addition of the pressure equality to the contour dynamic equations is obtained as a mathematical consequence, and not as a physical assumption, from the mere fact that we are dealing with weak solutions of Euler’s equation in the whole space.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Free boundary
Euler equations
Rayleigh-Taylor
Local existence
Interface evolution: water waves in 2-D
info:eu-repo/semantics/article
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
URL
https://idus.us.es/bitstream/11441/45200/1/Interface%20evolution%20water%20waves%20in%202-D.pdf
File
MD5
773813dee0b7cfe9e22289a0655971ff
358944
application/pdf
Interface evolution water waves in 2-D.pdf
oai:idus.us.es:11441/620292024-02-14T11:39:18Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Junta de Andalucía
funder
Ministerio de Ciencia y Tecnología (MCYT). España
2017-07-05T10:44:10Z
2017-07-05T10:44:10Z
2006
Bernal González, L. (2006). Interpolation by tamed entire functions. Mathematica Balkanica, 20 (2), 161-166.
0205-3217
http://hdl.handle.net/11441/62029
In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, and with the property that its values are controlled in some sense on a given compact subset by those that it takes on finitely many prescribed nodes on the boundary.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Entire function
Interpolation
Strictly extremal point
Boundedness
Interpolation by tamed entire functions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/62029/1/Interpolation%20by%20tamed%20entire%20functions.pdf
File
MD5
cb68578c9a3d0daf1df2955c399dbbee
178044
application/pdf
Interpolation by tamed entire functions.pdf
oai:idus.us.es:11441/523462024-02-14T20:36:11Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Análisis Matemático
funder
Dirección General de Investigación Científica y Técnica (DGICYT). España
2017-01-17T10:27:29Z
2017-01-17T10:27:29Z
2006
Lacruz Martín, M.B., Lomonosov, V. y Rodríguez Piazza, L. (2006). Strongly compact algebras. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A: Matematicas, 100 (1-2), 191-207.
0034-05961137-2141
http://hdl.handle.net/11441/52346
An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively compact in the strong operator topology. A bounded linear operator on a Hilbert space is said to be strongly compact if the algebra generated by the operator and the identity is strongly
compact. This notion was introduced by Lomonosov as an approach to the invariant subspace problem for essentially normal operators. First of all, some basic properties of strongly compact algebras are established. Next, a characterization of strongly compact normal operators is provided in terms of their spectral representation, and some applications are given. Finally, necessary and sufficient conditions for a weighted shift to be strongly compact are obtained in terms of the sliding products of its weights, and
further applications are derived.Un álgebra de operadores lineales en un espacio de Hilbert se dice que es fuertemente compacta si su bola unidad es relativamente compacta en la topología fuerte de operadores. Un operador lineal y continuo en un espacio de Hilbert es fuertemente compacto si el algebra generada por el operador y la identidad es fuertemente compacta. Esta noción fue introducida por Lomonosov para estudiar el problema del subespacio invariante para operadores esencialmente normales. En primer lugar, se establecen algunas propiedades básicas de las álgebras fuertemente compactas. Se proporciona después una caracterizacion de los operadores normales fuertemente compactos en términos de su representación espectral y se dan algunas aplicaciones. Finalmente, se obtienen condiciones necesarias y suficientes para que un desplazamiento ponderado sea fuertemente compacto en términos de los productos deslizados de sus pesos. Se proporcionan algunas otras aplicaciones.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Topological algebra
Linear operator
Hilbert space
Invariant subspace problem
Strongly compact algebra
Spectral representation
Strongly compact algebras
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/52346/1/Strongly%20compact%20algebras.pdf
File
MD5
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240782
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Strongly compact algebras.pdf
oai:idus.us.es:11441/494992024-02-12T21:43:48Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Dirección General de Enseñanza Superior. España
funder
Junta de Andalucía
2016-12-01T10:51:10Z
2016-12-01T10:51:10Z
2011-01-01
Espínola García, R. y Nicolae, A. (2011). Geodesic Ptolemy spaces and fixed points. Nonlinear Analysis: Theory, Methods and Applications, 74 (1), 27-34.
0362-546X
http://hdl.handle.net/11441/49499
10.1016/j.na.2010.08.009
https://idus.us.es/xmlui/handle/11441/49499
We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic Ptolemy spaces with a uniformly continuous midpoint map are reflexive and that in such a setting bounded sequences have unique asymptotic centers. These properties will then be applied to yield a series of fixed point results specific to CAT(0) spaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Ptolemy inequality
Geodesic space
Fixed point
Nonexpansive mapping
Geodesic Ptolemy spaces and fixed points
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/49499/1/Geodesic%20Ptolemy%20spaces%20and%20fixed%20points.pdf
File
MD5
c1aea4a79fdd5e725f6ac06aa97807ef
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application/pdf
Geodesic Ptolemy spaces and fixed points.pdf
oai:idus.us.es:11441/465362024-02-13T19:58:45Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matemático
funder
Ministerio de Educación y Ciencia (MEC). España
2016-09-30T11:12:39Z
2016-09-30T11:12:39Z
2011-10
Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2011). Nevanlinna counting function and Carleson function of analytic maps. Mathematische Annalen, 351 (2), 305-326.
0025-58311432-1807
http://hdl.handle.net/11441/46536
10.1007/s00208-010-0596-1
https://idus.us.es/xmlui/handle/11441/46536
We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Analytic self-map of the unit disk
Carleson function
Carleson measure
Composition operator
Nevanlinna counting function
Nevanlinna counting function and Carleson function of analytic maps
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/46536/1/Nevanlinna%20counting%20function%20and%20Carleson%20function%20of%20analytic%20maps.pdf
File
MD5
96a08ea917c8305d424d165ed277223e
244817
application/pdf
Nevanlinna counting function and Carleson function of analytic maps.pdf
oai:idus.us.es:11441/457252024-02-17T16:20:02Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Ministerio de Ciencia y Tecnología (MCYT). España
funder
Junta de Andalucía
2016-09-27T07:10:22Z
2016-09-27T07:10:22Z
2007-03
Bernal González, L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2007). Cyclicity of coefficient multipliers: Linear structure. Acta Mathematica Hungarica, 114 (4), 287-300.
0236-52941588-2632
http://hdl.handle.net/11441/45725
10.1007/s10474-007-5125-7
https://idus.us.es/xmlui/handle/11441/45725
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize its cyclicity, which contrasts with the fact that such operators are never supercyclic. Moreover, it is proved that for each cyclic function there is a dense part of the linear span of its orbit all of whose vectors are cyclic.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Cyclicity
Supercyclicity
Hypercyclicity
Coefficient multiplier
Euler differential operator
Hadamard operator
Cyclicity of coefficient multipliers: Linear structure
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45725/1/Cyclicity%20of%20coefficient%20multipliers%20linear%20structure.pdf
File
MD5
9948a8ac6e783bd0e99607dc31a70b93
128342
application/pdf
Cyclicity of coefficient multipliers linear structure.pdf
oai:idus.us.es:11441/484232019-04-03T05:49:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM260: Variable Compleja y Teoria de Operadores
funder
Ministerio de Ciencia y Tecnología (MCYT). España
funder
Junta de Andalucía
2016-11-10T10:49:12Z
2016-11-10T10:49:12Z
2007-06
Duren, P., Gallardo Gutiérrez, E.A. y Montes Rodríguez, A. (2007). A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces. Bulletin of the London Mathematical Society, 39 (3), 459-466.
0024-60931469-2120
http://hdl.handle.net/11441/48423
10.1112/blms/bdm026
https://idus.us.es/xmlui/handle/11441/48423
An analogue of the Paley–Wiener theorem is developed for weighted
Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the standard Bergman space of the unit disk can be identified with those of a convolution Volterra operator on the space L2 (R+, (1/t)dt).
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Bergman spaces
Paley-Wiener theorem
Fourier transform
Laguerre polynomials
Invariant subspaces
Bergman shift
Convolution operators
Volterra operators
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48423/1/A%20Paley-Wiener%20theorem%20for%20Bergman%20spaces%20with%20application%20to%20invariant%20subspaces.pdf
File
MD5
117cf2ae1c52404406221e4d6380303f
132570
application/pdf
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces.pdf
oai:idus.us.es:11441/451902024-02-14T08:51:57Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
funder
Ministerio de Educación y Ciencia (MEC). España
2016-09-21T09:29:26Z
2016-09-21T09:29:26Z
2009-08
Castro Martínez, Á., Córdoba Gazolaz, D., Gancedo García, F. y Orive Illera, R. (2009). Incompressible flow in porous media with fractional diffusion. Nonlinearity, 22 (8), 1791-1815.
0951-77151361-6544
http://hdl.handle.net/11441/45190
10.1088/0951-7715/22/8/002
https://idus.us.es/xmlui/handle/11441/45190
In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy’s law. We show formation of singularities with infinite energy and for finite energy we obtain existence and uniqueness results of strong solutions for the sub-critical and critical cases. We prove global existence of weak solutions for different cases. Moreover, we obtain the decay of the solution in Lp, for any p ≥ 2, and the asymptotic behavior is shown. Finally, we prove the existence of an attractor in a weak sense and, for the sub-critical dissipative case with α ∈ (1, 2], we obtain the existence of the global attractor for the solutions in the space Hs for any s > (N/2) + 1 − α.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Flows in porous media
Incompressible flow in porous media with fractional diffusion
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45190/1/Incompressible%20flow%20in%20porous%20media%20with%20fractional%20diffusion.pdf
File
MD5
c4945a83e140267f96308e0932c36810
309853
application/pdf
Incompressible flow in porous media with fractional diffusion.pdf
oai:idus.us.es:11441/417132024-02-17T16:48:10Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-05-31T09:57:57Z
2016-05-31T09:57:57Z
2002-10
Álvarez Nodarse, R., Atakishiyeva Kyazim Zade, M. y Atakishiyev Mektiyev, N. (2007). On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1. Boletín de la Sociedad Matemática Mexicana, 8 (2), 127-139.
1405-213X2296-4495
http://hdl.handle.net/11441/41713
https://idus.us.es/xmlui/handle/11441/41713
We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can be expressed either in terms of the q-Laguerre polynomials L n (x; q), = 1=2, or through the discrete q-Hermite polynomials ~hn(x; q) of type II.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41713/1/On%20a%20q-extension%20of%20the%20Hermite%20polynomials%20Hn%28x%29%20with%20the%20continuous%20orthogonality%20property%20on%20R1.pdf
File
MD5
daf5f0b4f33fec505412349ac6fcff23
220336
application/pdf
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1.pdf
oai:idus.us.es:11441/428752024-02-14T20:08:34Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Ministerio de Economía y Competitividad (MINECO). España
2016-06-29T07:44:32Z
2016-06-29T07:44:32Z
2015-08
Arias de Reyna Martínez, J. (2015). On the distribution (mod 1) of the normalized zeros of the Riemann Zeta-function. Journal of Number Theory, 153, 37-53.
1096-1658
http://hdl.handle.net/11441/42875
http://dx.doi.org/10.1016/j.jnt.2015.01.006
https://idus.us.es/xmlui/handle/11441/42875
We consider the problem whether the ordinates of the non-trivial zeros of ζ(s)
are uniformly distributed modulo the Gram points, or equivalently, if the normalized zeros
(xn) are uniformly distributed modulo 1. Odlyzko conjectured this to be true. This is far
from being proved, even assuming the Riemann hypothesis (RH, for short).
Applying the Piatetski-Shapiro 11/12 Theorem we are able to show that, for 0 < κ < 6/5,
the mean value 1
N
P
n≤N exp(2πiκxn) tends to zero. The case κ = 1 is especially interesting.
In this case the Prime Number Theorem is sufficient to prove that the mean value is 0, but
the rate of convergence is slower than for other values of κ. Also the case κ = 1 seems to
contradict the behavior of the first two million zeros of ζ(s).
We make an effort not to use the RH. So our Theorems are absolute. We also put forward
the interesting question: will the uniform distribution of the normalized zeros be compatible
with the GUE hypothesis?
Let ρ =
1
2 + iα run through the complex zeros of zeta. We do not assume the RH so that
α may be complex. For 0 < κ < 6
5 we prove that
lim
T→∞
1
N(T)
X
0<Re α≤T
e
2iκϑ(α) = 0
where ϑ(t) is the phase of ζ(
1
2 + it) = e
−iϑ(t)Z(t).
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
zeta function
zeros of zeta
equidistribution
GUE hypothesis
normalized zeros
On the distribution (mod 1) of the normalized zeros of the Riemann Zeta-function
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42875/1/On%20the%20distribution%20%28mod%201%29%20of%20the%20normalized%20zeros%20of%20the%20Riemann%20Zeta-function.pdf
File
MD5
f6e02e81203fd7755795b720a081cab7
425013
application/pdf
On the distribution (mod 1) of the normalized zeros of the Riemann Zeta-function.pdf
oai:idus.us.es:11441/418482024-02-14T20:16:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-03T09:46:07Z
2016-06-03T09:46:07Z
2008
Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2008). A criterion of weak compactness for operators on subspaces of Orlicz spaces. Journal of Function Spaces and Applications, 6 (3), 277-292.
0972-6802
http://hdl.handle.net/11441/41848
10.1155/2008/107568
https://idus.us.es/xmlui/handle/11441/41848
We give a criterion of weak compactness for the operators on the
Morse-Transue space MΨ , the subspace of the Orlicz space LΨ generated by L∞.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Morse-Transue space
Orlicz space
weakly compact operators
A criterion of weak compactness for operators on subspaces of Orlicz spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41848/1/A%20criterion%20of%20weak%20compactness%20for%20operators%20on%20subspaces%20of%20Orlicz%20spaces.pdf
File
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A criterion of weak compactness for operators on subspaces of Orlicz spaces.pdf
oai:idus.us.es:11441/588072024-02-14T19:05:41Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
2017-04-27T11:35:04Z
2017-04-27T11:35:04Z
1988
Soriano Arbizu, J.M. (1988). Sobre la existencia y el cálculo de ceros de funciones regulares. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, 82 (3-4), 523-531.
1137-2141
http://hdl.handle.net/11441/58807
For a map / of class two a sufficient condition is obtained to secure the existence of a zero of f in the simplex 5 if a piecewise Hnear aproximation 9 of f has a cero in s. Application: for a smooth map F: D ⊆ Cn → Cn a noniterative algorithm is constructed of obtain the zeros of F using the usual homotopy H in Dx [0, 1] and a piecewise Hnear approximation 6
relative to a triangulation K of Dx [0, 1]. An implemention of the procedure is cited.Para una aplicación / de clase dos se obtiene una condición suficiente para asegurar la existencia de un cero de f en el simplex s si una aproximación lineal a trozos 0 de f tiene un cero en s. Aplicación: para una aplicación regular F: D ⊆ Cn → Cn se construye un algoritmo no iterativo para calcular sus ceros, utilizando la homotopía usual H en D x [0, 1] y una aproximación lineal a trozos 0 relativa a una triangulación K de Dx [0, 1]. Se cita una aplicación del procedimiento.
spa
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Sobre la existencia y el cálculo de ceros de funciones regulares
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/58807/1/Sobre%20la%20existencia%20y%20el%20c%c3%a1lculo%20de%20ceros%20de%20funciones%20regulares.pdf
File
MD5
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833627
application/pdf
Sobre la existencia y el cálculo de ceros de funciones regulares.pdf
oai:idus.us.es:11441/875372024-02-13T09:12:21Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-21T07:41:03Z
2019-06-21T07:41:03Z
2009-04
Bernal González, L. (2009). Interpolation by hypercyclic functions for differential operators. Journal of Approximation Theory, 157 (2), 134-143.
0021-9045
https://hdl.handle.net/11441/87537
10.1016/j.jat.2008.07.003
We prove that, given a sequence of points in a complex domain Ω without accumulation points, there are functions having prescribed
values at the points of the sequence and, simultaneously, having dense orbit in the space of holomorphic functions on Ω. The orbit is taken with respect to any fixed non-scalar differential operator generated by an entire function of subexponential type, thereby extending a recent result about MacLane-hypercyclicity due to Costakis, Vlachou and
Niess.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Hypercyclic function
Differential operator
Interpolation
Mixing sequence of mappings
Interpolation by hypercyclic functions for differential operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/87537/1/Interpolation%20by%20hypercyclic%20functions%20for%20differential%20operators.pdf
File
MD5
ae7a572c6c0dbba8cc4db1fbad909174
258597
application/pdf
Interpolation by hypercyclic functions for differential operators.pdf
oai:idus.us.es:11441/417062024-02-13T20:23:50Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Dirección General de Investigación Científica y Técnica (DGICYT). España
2016-05-31T09:22:47Z
2016-05-31T09:22:47Z
1998-03
Álvarez Nodarse, R. y Marcellán Español, F. (1998). On the modification of classical orthogonal polynomials: the symmetric case. Approximation Theory and its Applications, 14 (1), 8-28.
1000-92211573-8175
http://hdl.handle.net/11441/41706
https://idus.us.es/xmlui/handle/11441/41706
We consider the modifcations of the monic Hermite and Gegenbauer polynomials via the addition of one point mass at the origin. Some properties of the resulting polynomials are studied: three-term recurrence relation, differential equation, ratio asymptotics, hypergeometric representation as well as, for large n, the behaviour of their zeros.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Hermite polynomials
Gegenbauer polynomials
discrete measures
zeros
symmetric functionals
On the modification of classical orthogonal polynomials: the symmetric case
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41706/1/On%20the%20modification%20of%20classical%20orthogonal%20polynomials%20the%20symmetric%20case.pdf
File
MD5
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310888
application/pdf
On the modification of classical orthogonal polynomials the symmetric case.pdf
oai:idus.us.es:11441/1443662024-02-14T11:23:54Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2023-04-14T09:16:50Z
2023-04-14T09:16:50Z
2021
Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2021). Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions. Journal of Functional Analysis, 280, 1-47. https://doi.org/10.1016/j.jfa.2020.108834.
0022-12361096-0783
https://hdl.handle.net/11441/144366
10.1016/j.jfa.2020.108834
We compare the rate of decay of singular numbers of a
given composition operator acting on various Hilbert spaces
of analytic functions on the unit disk D. We show that for the
Hardy and Bergman spaces, our results are sharp. We also
give lower and upper estimates of the singular numbers of the
composition operator with symbol the “cusp map” and the
lens maps, acting on weighted Dirichlet spaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Approximation numbers
Composition operator
Hilbert spaces of analytic functions
Schatten classes
Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/144366/1/1-s2.0-S0022123620303773-main.pdf
File
MD5
760a4829055107f5507cafe11586a847
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1-s2.0-S0022123620303773-main.pdf
oai:idus.us.es:11441/537632018-02-02T08:13:08Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/418212018-02-02T08:40:45Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/438332024-02-13T22:12:24Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM262: Teoria de la Aproximacion
funder
European Union (UE)
funder
Dirección General de Enseñanza Superior. España
2016-07-21T08:02:25Z
2016-07-21T08:02:25Z
2001-01-15
Marcellán Español, F. y Álvarez Nodarse, R. (2001). On the "Favard theorem" and its extensions. Journal of Computational and Applied Mathematics, 127 (1-2), 231-254.
0377-0427
http://hdl.handle.net/11441/43833
10.1016/S0377-0427(00)00497-0
https://idus.us.es/xmlui/handle/11441/43833
In this paper we present a survey on the "Favard theorem" and its extensions.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Favard Theorem
Recurrence relations
On the "Favard theorem" and its extensions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/43833/1/On%20the%20Favard%20theorem%20and%20its%20extensions.pdf
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On the Favard theorem and its extensions.pdf
oai:idus.us.es:11441/489292018-02-19T08:59:47Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/161062024-02-14T19:24:56Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
2014-11-27T12:22:46Z
2014-11-27T12:22:46Z
2003
Espínola García, R. y Bugajewski, D. (2003). Measure of nonhyperconvexity and fixed-point theorems. Abstract and Applied Analysis, 2, 111-119.
1085-3375
http://downloads.hindawi.com/journals/aaa/2003/935975.pdf
http://hdl.handle.net/11441/16106
https://idus.us.es/xmlui/handle/11441/16106
eng
Measure of nonhyperconvexity and fixed-point theorems
info:eu-repo/semantics/article
URL
https://idus.us.es/bitstream/11441/16106/1/file_1.pdf
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MD5
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oai:idus.us.es:11441/386062024-02-14T08:55:21Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10833col_11441_10809col_11441_10834
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-03-16T09:50:54Z
2016-03-16T09:50:54Z
2015-12
Caraballo Garrido, T. y García Guirao, J.L. (2015). New trends on nonlinear dynamics and its applications. Discrete and continuous dynamical systems. Series S, 8 (6), 1-2.
1937-1632
http://hdl.handle.net/11441/38606
http://dx.doi.org/10.3934/dcdss.2015.8.6i
https://idus.us.es/xmlui/handle/11441/38606
This paper is the Preface of a special issue devoted to Nonlinear Dynamics and Complexity generated by the contributions of participants at the conference NDC 2015, La Manga, Spain (http://ndc.lhscientificpublishing.com) organized by the Dynamical System Research Group of Región of Murcia (http://www.um.es/sistdinamicos/).
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
New trends on nonlinear dynamics and its applications
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/38606/1/New%20trends%20on%20nonlinear%20dynamics%20and%20its%20applications.pdf
File
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New trends on nonlinear dynamics and its applications.pdf
oai:idus.us.es:11441/425912024-02-14T19:38:00Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Junta de Andalucía
funder
Dirección General de Enseñanza Superior. España
2016-06-22T07:40:02Z
2016-06-22T07:40:02Z
2011-03-01
Ariza Ruiz, D., Jiménez Melado, A. y López Acedo, G. (2011). A fixed point theorem for weakly Zamfirescu mappings. Nonlinear Analysis: Theory, Methods & Applications, 74 (5), 1628-1640.
0362-546X
http://hdl.handle.net/11441/42591
http://dx.doi.org/10.1016/j.na.2010.10.033
https://idus.us.es/xmlui/handle/11441/42591
In [13] T. Zamfirescu, Fixed point theorems in metric spaces, Arch. Math. 23
(1972), 292–298. Zamfirescu gave a fixed point theorem that generalizes the classical fixed point theorems by Banach, Kannan and Chatterjea. In this paper, we follow the ideas of Dugundji and Granas to extend Zamfirescu’s fixed point theorem to the class of weakly Zamfirescu maps. A continuation method for this class of maps is also given.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
fixed point
weakly Zamfirescu mappings
weakly contractive mappings
continuation method
A fixed point theorem for weakly Zamfirescu mappings
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42591/1/A%20fixed%20point%20theorem%20for%20weakly%20Zamfirescu%20mappings.pdf
File
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A fixed point theorem for weakly Zamfirescu mappings.pdf
oai:idus.us.es:11441/451962018-02-16T11:17:59Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2016-09-21T10:43:52Z
2016-09-21T10:43:52Z
2012-11
Friedlander, S., Gancedo García, F., Sun, W. y Vicol, V. (2012). On a singular incompressible porous media equation. Journal of Mathematical Physics, 53 (115602)
0022-24881089-7658
http://hdl.handle.net/11441/45196
10.1063/1.4725532
https://idus.us.es/xmlui/handle/11441/45196
This paper considers a family of active scalar equations with transport velocities which are more singular by a derivative of order β than the active scalar. We prove that the equations with 0 < β ≤ 2 are Lipschitz ill-posed for regular initial data. On the contrary, when 0 < β < 1 we show local well-posedness for patch-type weak solutions.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
On a singular incompressible porous media equation
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45196/1/On%20a%20singular%20incompressible%20porous%20media%20equation.pdf
File
MD5
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On a singular incompressible porous media equation.pdf
oai:idus.us.es:11441/1276792024-02-13T19:59:08Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2021-11-25T11:07:17Z
2021-11-25T11:07:17Z
2021-08-16
Domínguez Benavides, T. y Lorenzo Ramírez, J. (2021). Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings. Journal of Fixed Point Theory and Applications, 23 (3), 40-1-40-25.
1661-77461661-7738
https://hdl.handle.net/11441/127679
10.1007/s11784-021-00876-y
This paper is devoted to state some fixed point results for multivalued mappings in modular vector spaces. For this purpose, we study the uniform noncompact convexity, a geometric property for modular spaces which is similar to nearly uniform convexity in the Banach spaces setting. Using this property, we state several new fixed point theorems for multivalued nonexpansive mappings in modular spaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Fixed point
Multivalued nonexpansive mapping
Modular vector space
Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/127679/1/Measures%20of%20noncompactness%20in%20modular%20spaces%20and%20fixed%20point%20theorems%20for%20multivalued%20nonexpansive%20mappings.pdf
File
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460063
application/pdf
Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings.pdf
oai:idus.us.es:11441/479282018-02-02T09:46:41Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/1537422024-03-08T11:53:33Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2024-01-22T12:05:09Z
2024-01-22T12:05:09Z
2023-04-16
Anguiano Moreno, M. y Sánchez Grau, F.J. (2023). Sharp Pressure Estimates for the Navier–Stokes System in Thin Porous Media. Bulletin of the Malaysian Mathematical Sciences Society, 46, 117-1. https://doi.org/10.1007/s40840-023-01514-1.
0126-67052180-4206
https://hdl.handle.net/11441/153742
10.1007/s40840-023-01514-1
A relevant problem for applications is to model the behavior of Newtonian fluids through thin porous media, which is a domain with small thickness
and perforated by periodically distributed cylinders of size and period
, with
. Depending on the relation between thickness and the size of the cylinders, it was introduced in Fabricius et al. (Transp Porous Media 115:473–493, 2016), Anguiano and Suárez-Grau (Z Angew Math Phys 68:45, 2017) and Anguiano and Suárez-Grau (Mediterr J Math 15:45, 2018) that there exist three regimes depending on the value of
:
,
and
. In each regime, the asymptotic behavior of the fluid is governed by a lower-dimensional Darcy’s law. In previous studies, the Reynolds number is considered to be of order one and so, the question that arises is for what range of values of the Reynolds number the lower-dimensional Darcy laws are still valid in each regime, which represents the main the goal of this paper. In this sense, considering a fluid governed by the Navier–Stokes system and assuming the Reynolds number written in terms of the thickness
, we prove that, for each regime, there exists a critical Reynolds number
such that for every Reynolds number Re with order smaller or equal than
, the lower-dimensional Darcy law is still valid. On the contrary, for Reynolds numbers Re greater than
, the inertial term of the Navier–Stokes system has to be taken into account in the asymptotic behavior and so, the Darcy law is not valid.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Navier–Stokes
Critical Reynolds number
Sharp estimates
Thin porous media
Sharp Pressure Estimates for the Navier–Stokes System in Thin Porous Media
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/153742/1/Art.%202.pdf
File
MD5
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613582
application/pdf
Art. 2.pdf
oai:idus.us.es:11441/471352018-02-02T08:34:41Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/484902024-02-14T08:59:19Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Dirección General de Enseñanza Superior. España
funder
Junta de Andalucía
2016-11-14T07:23:50Z
2016-11-14T07:23:50Z
2013-12-15
Espínola García, R. y Pia̧tek, B. (2013). The fixed point property and unbounded sets in CAT(0) spaces. Journal of Mathematical Analysis and Applications, 408 (2), 638-654.
0022-247X
http://hdl.handle.net/11441/48490
10.1016/j.jmaa.2013.06.038
https://idus.us.es/xmlui/handle/11441/48490
In this work we study the fixed point property for nonexpansive self-mappings defined on convex and closed subsets of a CAT(0) space. We will show that a positive answer to this problem is very much linked with the Euclidean geometry of the space while the answer is more likely to be negative if the space is more hyperbolic. As a consequence we extend a very well known result of W.O. Ray on Hilbert spaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Nonexpansive mappings
Fixed points
Unbounded convex sets
CAT(0) spaces
Banach-Steinhaus theorem
The fixed point property and unbounded sets in CAT(0) spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48490/1/The%20fixed%20point%20property%20and%20unbounded%20sets%20in%20CAT%280%29%20spaces.pdf
File
MD5
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397586
application/pdf
The fixed point property and unbounded sets in CAT(0) spaces.pdf
oai:idus.us.es:11441/335742024-02-13T08:53:01Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-01-29T09:52:01Z
2016-01-29T09:52:01Z
2014-12-25
Prado Bassas, J.A. (2014). Matemáticas: una ¿triste? historia de amor.
2386-5997
http://hdl.handle.net/11441/33574
https://idus.us.es/xmlui/handle/11441/33574
Recientemente me encontré en Twitter el vídeo Math tell us three of the saddest love stories del blog Lemongum sobre cómo las matemáticas nos cuentan las historias de amor más tristes. En el presente artículo vamos a demostrar que las historias de amor matemático no siempre son tan tristes como dicho vídeo pretende hacernos creer y aprovecharemos para tratar de desterrar algunos de los errores más comunes que los profesores nos solemos encontrar.
spa
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
matemáticas
Amor
Matemáticas: una ¿triste? historia de amor
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/33574/1/matem%c3%a1ticas_una_triste_historia_de_amor.pdf
File
MD5
4e436e5300495152e4b6cb864fe4dd3e
1212024
application/pdf
matemáticas_una_triste_historia_de_amor.pdf
oai:idus.us.es:11441/451482018-02-16T10:17:47Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2016-09-20T11:40:31Z
2016-09-20T11:40:31Z
2013
Córdoba Barba, A., Córdoba Gazolaz, D. y Gancedo García, F. (2013). Porous media: the Muskat problem in 3D. Analysis and PDE, 6 (2), 447-497.
2157-50451948-206X
http://hdl.handle.net/11441/45148
10.2140/apde.2013.6.447
https://idus.us.es/xmlui/handle/11441/45148
The Muskat problem involves filtration of two incompressible fluids throughout a porous medium. In this paper we shall discuss in 3-D the relevance of the RayleighTaylor condition, and the topology of the initial interface, in order to prove its local existence in Sobolev spaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Porous media: the Muskat problem in 3D
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45148/4/Porous%20media.pdf
File
MD5
bc9f56c111636dee5039ddb516fc5746
380268
application/pdf
Porous media.pdf
oai:idus.us.es:11441/488182024-02-14T11:05:18Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-11-17T12:42:01Z
2016-11-17T12:42:01Z
1984
Ayerbe Toledano, J.M. (1984). Algunos espacios topológicos que admiten una medida-categoría. Collectanea Mathematica, 35 (3), 221-232.
0010-07572038-4815
http://hdl.handle.net/11441/48818
https://idus.us.es/xmlui/handle/11441/48818
Let X be a topological space. A category measure m on X is a countably aditive finite measure defined on the σ-algebra formed by all sets with the Baire property, such that m(E)=0 iff E is of Baire first category. It is known that one can define a density topology on every space of finite measure X such that X becomes a category measure space. In this paper some conditions are given so that a topological space be a category measure space.
spa
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Algunos espacios topológicos que admiten una medida-categoría
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48818/1/Algunos%20espacios%20topol%c3%b3gicos%20que%20admiten%20una%20medida-categor%c3%ada.pdf
File
MD5
e3a5e5967d204e1701fc6ee0bffac5ec
331387
application/pdf
Algunos espacios topológicos que admiten una medida-categoría.pdf
oai:idus.us.es:11441/424082024-02-17T16:36:05Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Dirección General de Enseñanza Superior. España
funder
Junta de Andalucía
2016-06-16T11:06:21Z
2016-06-16T11:06:21Z
2011
Domínguez de la Iglesia, M. (2011). A note on the invariant distribution of a quasi-birth-and-death process. Journal of Physics. A, Mathematical and General, 44, 1-9.
0305-44701361-6447
http://hdl.handle.net/11441/42408
https://idus.us.es/xmlui/handle/11441/42408
The aim of this paper is to give an explicit formula of the invariant distribution of a quasi-birth-and-death process in terms of the block entries of the transition probability matrix using a matrix-valued orthogonal polynomials approach. We will show that the invariant distribution can be computed using the squared norms of the corresponding matrix-valued orthogonal polynomials, no matter if they are or not diagonal matrices. We will give an example where the squared norms are not diagonal matrices, but nevertheless we can compute its invariant distribution.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Quasi-birth-and-death processes
matrix-valued orthogonal polynomials
Markov chains
block tridiagonal transition probability matrix
A note on the invariant distribution of a quasi-birth-and-death process
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42408/1/A%20note%20on%20the%20invariant%20distribution%20of%20a%20quasi-birth-and-death%20process.pdf
File
MD5
5e188337768e3d5835ed771421bd4884
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application/pdf
A note on the invariant distribution of a quasi-birth-and-death process.pdf
oai:idus.us.es:11441/538012024-02-13T22:06:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Junta de Andalucía
funder
Ministerio de Economía y Competitividad (MINECO). España
2017-02-08T08:43:26Z
2017-02-08T08:43:26Z
2017-01
Bernal González, L. (2017). The algebraic size of the family of injective operators. Open Mathematics, 15 (1), 13-20.
2391-5455
http://hdl.handle.net/11441/53801
10.1515/math-2017-0005
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable
infinite dimensional Banach space supports a commutative infinitely generated free linear algebra of operators all of whose nonzero members are one-to-one. In certain cases, the assertion holds for nonseparable Banach spaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
One-to-one operator
Point spectrum
Algebrability
Hypercyclic operator
The algebraic size of the family of injective operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/53801/1/The%20algebraic%20size%20of%20the%20family%20of%20injective%20operators.pdf
File
MD5
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application/pdf
The algebraic size of the family of injective operators.pdf
oai:idus.us.es:11441/489552024-02-17T17:32:25Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Dirección General de Enseñanza Superior. España
funder
Junta de Andalucía
2016-11-22T07:55:40Z
2016-11-22T07:55:40Z
2004
Domínguez Benavides, T. y Lorenzo Ramírez, J. (2004). Asymptotic centers and fixed points for multivalued nonexpansive mappings. Annales Universitatis Mariae Curie-Sklodowska. Sectio A, Mathematica, 58, 37-45.
0365-10292083-7402
http://hdl.handle.net/11441/48955
https://idus.us.es/xmlui/handle/11441/48955
Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued nonexpansive
mapping with convex compact values. We prove that T has a fixed point. This result improves former results in Domínguez Benavides, T., P. Lorenzo, Fixed point theorems for multivalued nonexpansive mappings without uniform convexity, Abstr. Appl. Anal. 2003:6 (2003), 375–386 and solves an open problem appearing in Xu, H.K., Metric fixed point theory for multivalued mappings, Dissertationes Math. (Rozprawy Mat.) 389 (2000), 39 pp.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Multivalued nonexpansive mappings
Asymptotic centers
Fixed points
Normal structure
Nearly uniform convexity
Asymptotic centers and fixed points for multivalued nonexpansive mappings
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48955/1/Asymptotic%20centers%20and%20fixed%20points%20for%20multivalued%20nonexpansive%20mappings.pdf
File
MD5
a1636a710b4769006b0ebbbeddf1036c
216423
application/pdf
Asymptotic centers and fixed points for multivalued nonexpansive mappings.pdf
oai:idus.us.es:11441/435352024-02-14T13:42:26Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Junta de Andalucía
funder
Ministerio de Ciencia e Innovación (MICIN). España
2016-07-12T11:40:53Z
2016-07-12T11:40:53Z
2013-01-01
Lacruz Martín, M.B. (2013). Hardy-Littlewood inequalities for norms of positive operators on sequence spaces. Linear Algebra and its Applications, 438 (1), 153-156.
0024-3795
http://hdl.handle.net/11441/43535
10.1016/j.laa.2012.07.044
https://idus.us.es/xmlui/handle/11441/43535
We consider estimates of Hardy and Littlewood for norms of operators on sequence spaces, and we apply a factorization result of Maurey to obtain improved estimates and simplified proofs for the special case of a positive operator.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Factorization
Positive operators
Sequence spaces
Hardy-Littlewood inequalities for norms of positive operators on sequence spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/43535/1/Hardy-Littlewood%20inequalities%20for%20norms%20of%20positive%20operators%20on%20sequence%20spaces.pdf
File
MD5
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233640
application/pdf
Hardy-Littlewood inequalities for norms of positive operators on sequence spaces.pdf
oai:idus.us.es:11441/424022024-02-13T09:05:27Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Dirección General de Enseñanza Superior. España
funder
Junta de Andalucía
2016-06-16T10:52:30Z
2016-06-16T10:52:30Z
2011-05
Domínguez de la Iglesia, M. (2011). Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions. Journal of Approximation Theory, 163 (5), 663-687.
0021-90451096-0430
http://hdl.handle.net/11441/42402
10.1016/j.jat.2011.02.004
https://idus.us.es/xmlui/handle/11441/42402
The aim of this paper is to show some examples of matrix-valued orthogonal functions on the real line which are simultaneously eigenfunctions of a second-order differential operator of Schrödinger type and an integral operator of Fourier type. As a consequence we derive integral equations of these functions as well as other useful structural formulas. Some of these functions are plotted to show the relationship with the Hermite or wave
functions.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Matrix-valued Schrödinger operators
matrix-valued orthogonal polynomials
Fourier analysis
Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42402/1/Some%20examples%20of%20matrix-valued%20orthogonal%20functions%20having%20a%20differential%20and%20an%20integral%20operator%20as%20eigenfunctions.pdf
File
MD5
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308214
application/pdf
Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions.pdf
oai:idus.us.es:11441/481232024-02-13T08:46:02Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Romanian National Authority for Scientific Research
funder
Ministry of Education. Romania
2016-10-26T06:32:57Z
2016-10-26T06:32:57Z
2015-11
Leustean, L. y Nicolae, A. (2015). A note on an ergodic theorem in weakly uniformly convex geodesic spaces. Archiv der Mathematik, 105 (5), 467-477.
0003-889X1420-8938
http://hdl.handle.net/11441/48123
10.1007/s00013-015-0825-7
https://idus.us.es/xmlui/handle/11441/48123
Karlsson and Margulis [A. Karlsson, G. Margulis, A multiplicative ergodic theorem and nonpositively curved spaces. Commun. Math. Phys. 208 (1999), 107-123] proved in the setting of uniformly convex geodesic spaces, which additionally satisfy a nonpositive curvature condition, an ergodic theorem that focuses on the asymptotic behavior of integrable cocycles of nonexpansive mappings over an ergodic measure-preserving transformation. In this note we show that this result holds true when assuming a weaker notion of uniform convexity.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Ergodic theorem
Geodesic space
Weak uniform convexity
Busemann convexity
A note on an ergodic theorem in weakly uniformly convex geodesic spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48123/1/A%20note%20on%20an%20ergodic%20theorem%20in%20weakly%20uniformly%20convex%20geodesic%20spaces.pdf
File
MD5
f00e33ebe485111ac97b39c89569eb57
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application/pdf
A note on an ergodic theorem in weakly uniformly convex geodesic spaces.pdf
oai:idus.us.es:11441/487672016-11-29T12:22:39Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2016-11-17T07:34:32Z
2016-11-17T07:34:32Z
1987
Bernal González, L. (1987). Funciones con derivadas sucesivas grandes y pequeñas por doquier. Collectanea Mathematica, 38 (2), 117-122.
0010-07572038-4815
http://hdl.handle.net/11441/48767
https://idus.us.es/xmlui/handle/11441/48767
In this paper we show that, given two double sequences of positive real numbers, α and β, the subset of all functions defined on an open real set which have big derivatives and small ones with respect to α and β, at every point, is residual in C∞. As a corollary, we derive that Baire-almost every function of C∞ has null radius of convergence at each point.
spa
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Funciones con derivadas sucesivas grandes y pequeñas por doquier
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48767/1/Funciones%20con%20derivadas%20sucesivas%20grandes%20y%20peque%c3%b1as%20por%20doquier.pdf
File
MD5
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168727
application/pdf
Funciones con derivadas sucesivas grandes y pequeñas por doquier.pdf
oai:idus.us.es:11441/1276812024-02-13T09:11:56Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2021-11-25T11:08:28Z
2021-11-25T11:08:28Z
2021-12-15
Lacruz Martín, M.B., León Saavedra, F., Petrovic, S. y Rodríguez Piazza, L. (2021). Extended eigenvalues of composition operators. Journal of Mathematical Analysis and Applications, 504 (2), 125427-1-125427-13.
0022-247X
https://hdl.handle.net/11441/127681
10.1016/j.cor.2021.105417
A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=λXA. The results in this paper provide a full solution to the problem of computing the extended eigenvalues for those composition operators Cφ induced on the Hardy space H2(D) by linear fractional transformations φ of the unit disk.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Extended eigenvalue
Composition operator
Hardy space
Linear fractional transformation
Extended eigenvalues of composition operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/127681/1/Extended%20eigenvalues%20of%20composition%20operators.pdf
File
MD5
ba8be18ffb4e1189935764669f65e298
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Extended eigenvalues of composition operators.pdf
oai:idus.us.es:11441/417892024-02-17T17:27:54Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Junta de Andalucía
funder
Dirección General de Enseñanza Superior. España
2016-06-02T06:35:15Z
2016-06-02T06:35:15Z
2006
Bernal González, L., Calderón Moreno, M.d.C. y Luh, W. (2006). Universal matrix transforms of holomorphic functions. Houston Journal of Mathematics, 32 (1), 315-324.
1370-1444
http://hdl.handle.net/11441/41789
https://idus.us.es/xmlui/handle/11441/41789
The phenomenon of overconvergence is related with the convergence
of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the third author provided a holomorphic function in the unit disk which is universal with respect to overconvergence. The generic nature of this kind of universality has been recently shown by Nestoridis. In this paper, we connect the overconvergence with the summability theory. We show that there are “many” holomorphic functions in the unit disk such that their sequences of A-transforms have the overconvergence property, A being an infinite matrix. This strengthens Nestoridis’ result.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Holomorphic function
unit disk
overconvergence
infinite matrix
A-transforms
Universal matrix transforms of holomorphic functions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41789/1/Universal%20matrix%20transforms%20of%20holomorphic%20functions.pdf
File
MD5
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Universal matrix transforms of holomorphic functions.pdf
oai:idus.us.es:11441/471952024-02-14T19:15:51Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Australian Research Council
2016-10-07T11:05:11Z
2016-10-07T11:05:11Z
2014-12
Aragón Artacho, F.J., Borwein, J.M., Martín Márquez, V. y Yao, L. (2014). Applications of convex analysis within mathematics. Mathematical Programming, 148 (1), 49-88.
0025-56101436-4646
http://hdl.handle.net/11441/47195
10.1007/s10107-013-0707-3
https://idus.us.es/xmlui/handle/11441/47195
In this paper, we study convex analysis and its theoretical applications. We apply important tools of convex analysis to Optimization and to Analysis. Then we show various deep applications of convex analysis and especially infimal convolution in Monotone Operator Theory. Among other things, we recapture the Minty surjectivity theorem in Hilbert space, and present a new proof of the sum theorem in reflexive spaces. More technically, we also discuss autoconjugate representers for maximally monotone operators. Finally, we consider various other applications in mathematical analysis.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Adjoint
Asplund averaging
Autoconjugate representer
Banach limit
Chebyshev set
Convex functions
Fenchel duality
Fenchel conjugate
Fitzpatrick function
Hahn-Banach extension theorem
Infimal convolution
Linear relation
Minty surjectivity theorem
Maximally monotone operator
Monotone operator
Moreau’s decomposition
Moreau envelope
Moreau’s max formula
Moreau-Rockafellar duality
Normal cone operator
Renorming, resolvent
Sandwich theorem
Subdifferential operator
Sum theorem
Yosida approximation
Applications of convex analysis within mathematics
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/47195/1/Applications%20of%20convex%20analysis%20within%20mathematics.pdf
File
MD5
eaa24ff69c072e81e1b2362dfa3a1661
632399
application/pdf
Applications of convex analysis within mathematics.pdf
oai:idus.us.es:11441/320042018-02-02T08:23:36Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/642562024-02-14T19:14:31Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Deutsche Forschungsgemeinschaft / German Research Foundation (DFG)
funder
Dirección General de Enseñanza Superior. España
2017-09-07T11:20:08Z
2017-09-07T11:20:08Z
2017-06
Kohlenbach, U.W. y Nicolae, A. (2017). A proof-theoretic bound extraction theorem for CAT(κ)-spaces. Studia Logica, 105 (3), 611-624.
0039-32151572-8730
http://hdl.handle.net/11441/64256
10.1007/s11225-016-9702-z
Starting in 2005, general logical metatheorems have been developed that guarantee the extractability of uniform effective bounds from large classes of proofs of theorems that involve abstract metric structures X. In this paper we adapt this to the class of CAT(κ)-spaces X for κ > 0 and establish a new metatheorem that explains specific bound extractions that recently have been achieved in this context as instances of a general logical phenomenon.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Proof mining
Effective bounds
CAT(κ)-spaces
A proof-theoretic bound extraction theorem for CAT(κ)-spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/64256/1/A%20proof-theoretic%20bound%20extraction%20theorem%20for%20CAT%28%ce%ba%29-spaces.pdf
File
MD5
2f05b16d2642ff5b1d595fdf2ec57cf2
293257
application/pdf
A proof-theoretic bound extraction theorem for CAT(κ)-spaces.pdf
oai:idus.us.es:11441/438362024-02-14T20:04:43Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM262: Teoria de la Aproximacion
funder
Universidad Carlos III de Madrid
2016-07-21T08:59:48Z
2016-07-21T08:59:48Z
2006
Álvarez Nodarse, R., Arvesú Carballo, J. y Marcellán Español, F. (2006). Special volume on orthogonal polynomials and mathematical physics. Electronic Transactions on Numerical Analysis, 24, VI-VI.
1068-9613
http://hdl.handle.net/11441/43836
https://idus.us.es/xmlui/handle/11441/43836
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Special volume on orthogonal polynomials and mathematical physics
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/43836/1/Special%20volume%20on%20orthogonal%20polynomials%20and%20mathematical%20physics.pdf
File
MD5
5214c3091c96c45769f63bfd939f5a3b
8618
application/pdf
Special volume on orthogonal polynomials and mathematical physics.pdf
oai:idus.us.es:11441/451682024-02-17T17:53:53Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
funder
Ministerio de Educación y Ciencia (MEC). España
funder
European Research Council (ERC)
2016-09-21T06:39:36Z
2016-09-21T06:39:36Z
2009-07-07
Córdoba Barba, A., Córdoba Gazolaz, D. y Gancedo García, F. (2009). The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces. Proceedings of the National Academy of Sciences, 106 (27), 10955-10959.
0027-84241091-6490
http://hdl.handle.net/11441/45168
10.1073/pnas.0809874106
https://idus.us.es/xmlui/handle/11441/45168
For the free boundary dynamics of the two-phase Hele-Shaw and Muskat problems, and also for the irrotational incompressible Euler equation, we prove existence locally in time when the Rayleigh-Taylor condition is initially satisfied for a 2D interface. The result for water waves was first obtained by Wu in a slightly different scenario (vanishing at infinity), but our approach is different because it emphasizes the active scalar character of the system and does not require the presence of gravity.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Euler
Hele-Shaw-Muskat
Incompressible
Well-possedness
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45168/1/The%20Rayleigh-Taylor%20condition%20for%20the%20evolution%20of%20irrotational%20fluid%20interfaces.pdf
File
MD5
9d8a938783bff9a092eb01c8f00f4bad
105457
application/pdf
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces.pdf
oai:idus.us.es:11441/875172024-02-13T09:02:42Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-19T08:56:53Z
2019-06-19T08:56:53Z
2006-07
Bernal González, L. (2006). Hypercyclic subspaces in Fréchet spaces. Proceedings of the American Mathematical Society, 134 (7), 1955-1961.
0002-99391088-6826
https://hdl.handle.net/11441/87517
10.1090/S0002-9939-05-08242-0
In this note, we show that every infinite-dimensional separable Fr´echet space
admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of hypercyclic vectors.
The family of such operators is even dense in the space of bounded operators when endowed with the strong operator topology. This completes earlier work of several authors.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Hypercyclic operator
Hypercyclic sequence
Hypercyclic subspace
Backward shift
Fréchet space
Hypercyclic subspaces in Fréchet spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/87517/1/Hypercyclic%20subspaces%20in%20Fr%c3%a9chet%20spaces.pdf
File
MD5
7e523d5cb7fb44543cfc3e104afac86c
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application/pdf
Hypercyclic subspaces in Fréchet spaces.pdf
oai:idus.us.es:11441/417252018-03-01T12:17:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-05-31T11:03:01Z
2016-05-31T11:03:01Z
2004-06
Álvarez Nodarse, R. y Moreno Balcázar, J.J. (2004). Asymptotic properties of generalized Laguerre orthogonal polynomials. Indagationes Mathematicae, 15 (2), 151-165.
0019-3577
http://hdl.handle.net/11441/41725
10.1016/S0019-3577(04)90012-2
https://idus.us.es/xmlui/handle/11441/41725
In the present paper we deal with the polynomials L(α,M,N) n (x) orthogonal with respect to the Sobolev inner product (p, q) = 1 Γ(α+1) Z ∞ 0 p(x)q(x) x
α e −x dx + M p(0)q(0) + N p 0 (0)q 0 (0), N,M ≥ 0, α > −1, firstly introduced by Koekoek and Meijer in 1993 and extensively studied in the last years.
We present some new asymptotic properties of these polynomials and also a limit relation between the zeros of these polynomials and the zeros of Bessel function Jα(x). The results are illustrated with numerical examples. Also, some general asymptotic formulas for generalizations of these polynomials are conjectured.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Asymptotics
Laguerre polynomials
generalized Laguerre polynomials
Asymptotic properties of generalized Laguerre orthogonal polynomials
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41725/1/Asymptotic%20properties%20of%20generalized%20Laguerre%20orthogonal%20polynomials.pdf
File
MD5
9c511ec5f094d9caab3f34507c0246b7
158793
application/pdf
Asymptotic properties of generalized Laguerre orthogonal polynomials.pdf
oai:idus.us.es:11441/161102024-02-13T22:27:59Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
2014-11-27T12:22:47Z
2014-11-27T12:22:47Z
2012
1815-0659
http://www.emis.de/journals/SIGMA/2012/042/sigma12-042.pdf
http://hdl.handle.net/11441/16110
10.3842/SIGMA.2012.042
https://idus.us.es/xmlui/handle/11441/16110
The central idea behind this review article is to discuss in a unified sense the
orthogonality of all possible polynomial solutions of the q-hypergeometric dif ference equation
on a q-linear lattice by means of a qualitative analysis of the q-Pearson equation. To be more
specific, a geometrical approach has been used by taking into account every possible rational
form of the polynomial coef ficients in the q-Pearson equation, together with various relative
positions of their zeros, to describe a desired q-weight function supported on a suitable set of
points. Therefore, our method dif fers from the standard ones which are based on the Favard
theorem, the three-term recurrence relation and the dif ference equation of hypergeometric
type. Our approach enables us to extend the orthogonality relations for some well-known
q-polynomials of the Hahn class to a larger set of their parameters.
eng
q-polynomials
q-Hahn class
orthogonal polynomials on q-linear lattices
On the orthogonality of q-classical polynomials of the Hahn class
info:eu-repo/semantics/article
URL
https://idus.us.es/bitstream/11441/16110/1/file_1.pdf
File
MD5
4ebc7ec582e5839e7470209e918d2f93
669078
application/pdf
file_1.pdf
oai:idus.us.es:11441/1063422024-02-13T08:50:10Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis matemático
group
FQM127: Análisis Funcional no Lineal
2021-03-19T09:43:58Z
2021-03-19T09:43:58Z
1989-01-01
Ordoñez Cabrera, M.H. (1989). Uniform integrability and convergence in the pth-mean of randomly weighted sums. Extracta mathematicae, 4 (2), 84-86.
0213-8743
https://hdl.handle.net/11441/106342
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Uniform integrability and convergence in the pth-mean of randomly weighted sums
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/106342/1/Dialnet-UniformIntegrabilityAndConvergenceInThePthmeanOfRa-118241.pdf
File
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Dialnet-UniformIntegrabilityAndConvergenceInThePthmeanOfRa-118241.pdf
oai:idus.us.es:11441/452902024-02-14T08:45:45Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Dirección General de Enseñanza Superior. España
funder
Junta de Andalucía
2016-09-22T11:40:16Z
2016-09-22T11:40:16Z
2004-03-01
Domínguez Benavides, T. y Lorenzo Ramírez, J. (2004). Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions. Journal of Mathematical Analysis and Applications, 291 (1), 100-108.
0022-247X
http://hdl.handle.net/11441/45290
10.1016/j.jmaa.2003.10.019
https://idus.us.es/xmlui/handle/11441/45290
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets of X and T a nonexpansive mapping from C into KC(X) with bounded range. We prove that T has a fixed point. The non-strict Opial condition can be removed if, in addition, T is an 1-χ-contractive mapping.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Fixed point
Multivalued nonexpansive mapping
Inwardness condition
Characteristic of noncompact convexity of a Banach space
Opial condition
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/45290/1/Fixed%20point%20theorems%20for%20multivalued%20mappings%20satisfying%20inwardness%20conditions.pdf
File
MD5
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Fixed point theorems for multivalued mappings satisfying inwardness conditions.pdf
oai:idus.us.es:11441/423342024-02-12T21:53:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Gobierno Vasco
funder
Ministerio de Economía y Competitividad (MINECO). España
2016-06-15T10:47:04Z
2016-06-15T10:47:04Z
2016
Ombrosi, S.J. y Pérez Moreno, C. (2008). Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer. Colloquium Mathematicum
0010-13541730-6302
http://hdl.handle.net/11441/42334
10.4064/cm4939-6-2016
https://idus.us.es/xmlui/handle/11441/42334
In this paper we study mixed weighted weak-type inequalities
for families of functions, which can be applied to study classic operators
in harmonic analysis. Our main theorem extends the key result
from D. Cruz-Uribe, J.M. Martell and C. Pérez, Weighted weak-type inequalities and a conjecture of Sawyer, Int. Math. Res. Not., 30 2005, 1849-1871.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Weights
maximal functions
singular integral operators
mixed weak-type inequalities
Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42334/1/Mixed%20weak%20type%20estimates%20Examples%20and%20counterexamples%20related%20to%20a%20problem%20of%20E.%20Sawyer..pdf
File
MD5
c1e72f1bd96b6798cded53ab65c157db
338291
application/pdf
Mixed weak type estimates Examples and counterexamples related to a problem of E. Sawyer..pdf
oai:idus.us.es:11441/1537362024-02-14T19:36:57Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2024-01-22T11:54:12Z
2024-01-22T11:54:12Z
2020-10-20
Bernal González, L., Calderón Moreno, M.d.C., Murillo Arcila, M. y Prado Bassas, J.A. (2020). Undominated Sequences of Integrable Functions. Mediterranean Journal of Mathematics, 17 (179), 178-1. https://doi.org/10.1007/s00009-020-01631-2.
1660-54541660-5446
https://hdl.handle.net/11441/153736
10.1007/s00009-020-01631-2
In this paper, we investigate to what extent the conclusion
of the Lebesgue dominated convergence theorem holds if the assumption
of dominance is dropped. Speci cally, we study both topological
and algebraic genericity of the family of all null sequences of functions
that, being continuous on a locally compact space and integrable with
respect to a given Borel measure in it, are not controlled by an integrable
function.
eng
Integrable function
continuous function
undominated sequence
lineability
residual set
Undominated Sequences of Integrable Functions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/153736/1/BerCalMurPB_accepted_AM_Springer.pdf
File
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BerCalMurPB_accepted_AM_Springer.pdf
oai:idus.us.es:11441/423982024-02-13T22:04:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-16T10:36:32Z
2016-06-16T10:36:32Z
2013
Domínguez de la Iglesia, M. y Tabak, E.G. (2013). Principal dynamical components. Communications on Pure and Applied Mathematics, 66 (1), 48-82.
0010-36401097-0312
http://hdl.handle.net/11441/42398
10.1002/cpa.21411
https://idus.us.es/xmlui/handle/11441/42398
A new procedure is proposed for the dimensional reduction of time series. Similarly to principal components, the procedure seeks a low-dimensional manifold that minimizes information loss. Unlike principal components, however, the new procedure involves dynamical considerations, through the proposal of a predictive dynamical model in the reduced manifold. Hence the minimization of the uncertainty is not only over the choice of a reduced manifold, as in principal components, but also over the parameters of the
dynamical model. Further generalizations are provided to non-autonomous and nonMarkovian scenarios, which are then applied to historical sea-surface temperature data.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Principal component analysis
Time series
Empirical orthogonal functions
Autocorrelation
Principal dynamical components
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42398/1/Principal%20dynamical%20components.pdf
File
MD5
3aea31feb1867ebe7e88f19ca1b4bdd9
746063
application/pdf
Principal dynamical components.pdf
oai:idus.us.es:11441/472402024-02-13T22:19:17Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM-354 Análisis Real
2016-10-10T06:14:10Z
2016-10-10T06:14:10Z
2016-02-22
Luque Martínez, T., Pérez Moreno, C. y Rela, E. (2016). Reverse Hölder property for strong weights and general measures. Journal of Geometric Analysis, 1-21.
1050-69261559-002X
http://hdl.handle.net/11441/47240
10.1007/s12220-016-9678-y
https://idus.us.es/xmlui/handle/11441/47240
We present dimension-free reverse H¨older inequalities for strong A∗p weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A∗1 weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative Radon measure with no atoms. For p = ∞, we
also provide a reverse H¨older inequality for certain product measures.
As a corollary we derive mixed A∗p − A∗∞ weighted estimates.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Reverse Hölder inequality
Muckenhoupt weights
Maximal functions
Multiparameter harmonic analysis
Reverse Hölder property for strong weights and general measures
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/47240/1/Reverse%20H%c3%b6lder%20property%20for%20strong%20weights%20and%20general%20measures.pdf
File
MD5
58134355e1017155d9e8307111513e0c
237482
application/pdf
Reverse Hölder property for strong weights and general measures.pdf
oai:idus.us.es:11441/492882024-02-14T13:29:03Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM262: Teoría de la Aproximación
funder
Dirección General de Enseñanza Superior. España
2016-11-29T10:44:24Z
2016-11-29T10:44:24Z
1999
Marcellán Español, F. y Medem Roesicke, J.C. (1999). Q-classical orthogonal polynomials: a very classical approach. Electronic Transactions on Numerical Analysis, 9, 112-127.
1068-9613
http://hdl.handle.net/11441/49288
https://idus.us.es/xmlui/handle/11441/49288
The q-classical orthogonal polynomials defined by Hahn satisfy a Sturm-Liouville type equation in geometric differences. Working with this, we classify the q−classical polynomials in twelve families according to the zeros of the polynomial coefficients of the equation and the behavior concerning to q-1. We determine a q-analogue of the weight function for the twelve families, and we give a representation of its orthogonality relation and its q-integral. We describe this representation in some normal and special cases (indeterminate moment problem and finite orthogonal sequences). Finally, the Sturm-Liouville type equation allows us to establish the correspondence between this classification and the Askey Scheme.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Orthogonal q-polynomials
Classical polynomials
Q-classical orthogonal polynomials: a very classical approach
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/49288/1/q%e2%88%92Classical%20orthogonal%20polynomials%20a%20very%20classical%20approach.pdf
File
MD5
440f0b7a44cac95d3a7e54149dfb1a93
165614
application/pdf
q−Classical orthogonal polynomials a very classical approach.pdf
oai:idus.us.es:11441/874922024-02-13T09:19:31Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-18T11:34:00Z
2019-06-18T11:34:00Z
2019-02
Bernal González, L. y Calderón Moreno, M.d.C. (2019). Hypercyclic algebras for D-multiples of convolution operators. Proceedings of the American Mathematical Society, 147 (2), 647-653.
0002-99391088-6826
https://hdl.handle.net/11441/87492
10.1090/proc/14146
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Hypercyclic operator
Convolution operator
Derivative operator
Convexity
Algebrability
Hypercyclic algebras for D-multiples of convolution operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/87492/1/Hypercyclic%20algebras%20for%20D-multiples%20of%20convolution%20operators.pdf
File
MD5
07c91f7509c4718677b7496cd5efc4b1
295546
application/pdf
Hypercyclic algebras for D-multiples of convolution operators.pdf
oai:idus.us.es:11441/875262024-02-13T20:07:25Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-19T10:20:53Z
2019-06-19T10:20:53Z
2002-12
Bernal González, L. y Calderón Moreno, M.d.C. (2002). Dense linear manifolds of monsters. Journal of Approximation Theory, 119 (2), 156-180.
0021-9045
https://hdl.handle.net/11441/87526
10.1006/jath.2002.3712
In this paper the new concept of totally omnipresent operators is introduced. These
operators act on the space of holomorphic functions of a domain in the complex plane.
The concept is more restrictive than that of strongly omnipresent operators, also introduced by the authors in an earlier work, and both of them are related to the existence
of functions whose images under such operators exhibit an extremely wild behaviour
near the boundary. Sufficient conditions for an operator to be totally omnipresent as
well as several outstanding examples are provided. After extending a statement of the
first author about the existence of large linear manifolds of hypercyclic vectors for a
sequence of suitable continuous linear mappings, it is shown that there is a dense linear manifold of holomorphic monsters in the sense of Luh, so completing earlier nice results
due to Luh and Grosse-Erdmann.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Holomorphic monster
T-monster
Strongly omnipresent operator
Totally omnipresent operator
Dense linear manifold
Hypercyclic sequence
Composition operator
Infinite order linear differential operator
Integral operator
Dense linear manifolds of monsters
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/87526/1/Dense%20linear%20manifolds%20of%20monsters.pdf
File
MD5
77ad37a6d6fbb8edac884f5adda45b15
356786
application/pdf
Dense linear manifolds of monsters.pdf
oai:idus.us.es:11441/803472024-02-14T20:23:51Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Análisis Matemático
2018-11-19T12:15:17Z
2018-11-19T12:15:17Z
2018-04
Alonso Gutiérrez, D., González Merino, B., Jiménez Gómez, C.H. y Villa Caro, R. (2018). John's ellipsoid and the integral ratio of a log-concave function. Journal of Geometric Analysis, 28 (2), 1182-1201.
1050-69261559-002x
https://hdl.handle.net/11441/80347
10.1007/s12220-017-9858-4
We extend the notion of John’s ellipsoid to the setting of integrable
log-concave functions. This will allow us to define the integral ratio of a
log-concave function, which will extend the notion of volume ratio, and we
will find the log-concave function maximizing the integral ratio. A reverse
functional affine isoperimetric inequality will be given, written in terms of this
integral ratio. This can be viewed as a stability version of the functional affine
isoperimetric inequality.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Log-concave function
John’s position
Volume ratio
Reverse affine isoperimetric inequality
John's ellipsoid and the integral ratio of a log-concave function
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/80347/1/John%27s%20ellipsoid%20and%20the%20integral%20ratio%20of%20a%20log-concave%20function.pdf
File
MD5
01624d742eadd073c1e7f91fe2cc6b25
265294
application/pdf
John's ellipsoid and the integral ratio of a log-concave function.pdf
oai:idus.us.es:11441/385752024-02-13T22:18:24Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10833col_11441_10809col_11441_10834
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-03-16T08:06:47Z
2016-03-16T08:06:47Z
2015-04-23
Caraballo Garrido, T., Hammami, M.A. y Mchiri, L. (2015). Practical stability of stochastic delay evolution equations.
0167-80191572-9036
http://hdl.handle.net/11441/38575
http://dx.doi.org/10.1007/s10440-015-0016-3
https://idus.us.es/xmlui/handle/11441/38575
In this paper we investigate the almost sure practical stability for a class of stochastic functional evolution equations. We establish some sufficient conditions based on the construction of appropriate Lyapunov functional. The abstract results are then applied to some illustrative examples.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Stochastic delay evolution equations
almost sure practical asymptotic stability
decay function
Practical stability of stochastic delay evolution equations
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/38575/1/Practical%20stability%20of%20stochastic%20delay%20evolution%20equations.pdf
File
MD5
3bc80fe77bcecaae0d90306ff927a793
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application/pdf
Practical stability of stochastic delay evolution equations.pdf
oai:idus.us.es:11441/423842024-02-14T19:33:24Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-16T09:22:36Z
2016-06-16T09:22:36Z
2012
Mastylo, M. y Pérez Moreno, C. (2012). The Hardy-Littlewood maximal type operators between Banach function spaces. Indiana University Mathematics Journal, 61 (3), 883-900.
0022-25181943-5258
http://hdl.handle.net/11441/42384
10.1512/iumj.2012.61.4708
https://idus.us.es/xmlui/handle/11441/42384
We investigate variants of the maximal operator and show their applications to study boundedness of the classical Hardy-Littlewood maximal operator between weighted Banach function spaces which satisfy certain geometrical lattice conditions. We prove inequalities for rearrangement of the maximal operators generated by rearrangement invariant spaces. Applying this to the Lorentz spaces, we give new sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator between weighted Lp-spaces
with different weights. We also prove that under some mild hypotheses
these conditions are also necessary.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
maximal operators
rearrangement estimate
The Hardy-Littlewood maximal type operators between Banach function spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42384/1/The%20Hardy-Littlewood%20maximal%20type%20operators%20between%20Banach%20function%20spaces.pdf
File
MD5
3f2a76a2c7506276e223ee01b756f3a0
209456
application/pdf
The Hardy-Littlewood maximal type operators between Banach function spaces.pdf
oai:idus.us.es:11441/874892024-02-13T08:51:32Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-18T11:06:15Z
2019-06-18T11:06:15Z
2006-06
Bernal González, L. (2006). Linear structure of the weighted holomorphic non-extendibility. Bulletin of the Australian Mathematical Society, 73 (3), 335-344.
0004-97271755-1633
https://hdl.handle.net/11441/87489
10.1017/S0004972700035371
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear submanifold M1 and
a dense linear submanifold M2 with maximal algebraic dimension in the space H(G) of holomorphic functions on G such that G is the
domain of holomorphy of every nonzero member of f of M1 or M2 and, in addition, the growth of f near each boundary point is as fast
as prescribed.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Holomorphic non-extendibility
Infinite-dimensional closed linear manifold
Maximal algebraic dimension
Spaceable set
Linear structure of the weighted holomorphic non-extendibility
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/87489/1/Linear%20structure%20of%20the%20weighted%20holomorphic%20non-extendibility.pdf
File
MD5
e322666cc872f03aadddf32cec173aaa
264625
application/pdf
Linear structure of the weighted holomorphic non-extendibility.pdf
oai:idus.us.es:11441/487662024-02-17T17:19:35Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2016-11-17T07:25:10Z
2016-11-17T07:25:10Z
1987
Bernal González, L. (1987). Exponente de convergencia generalizado de una sucesión compleja. Collectanea Mathematica, 38 (1), 57-64.
0010-07572038-4815
http://hdl.handle.net/11441/48766
https://idus.us.es/xmlui/handle/11441/48766
Our aim in this paper is to give several new expressions for the kth-convergence exponent of a complex sequence, and an extension of this concept to a certain class of real functions.
spa
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Exponente de convergencia generalizado de una sucesión compleja
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48766/1/Exponente%20de%20convergencia%20generalizado%20de%20una%20sucesi%c3%b3n%20compleja.pdf
File
MD5
514f05800279b93338eb45ab629b1bbd
186141
application/pdf
Exponente de convergencia generalizado de una sucesión compleja.pdf
oai:idus.us.es:11441/430172024-02-14T19:35:46Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM-354: Análisis Real
2016-07-01T10:32:02Z
2016-07-01T10:32:02Z
2014-01-09
Pérez Moreno, C. y Torres, R.H. (2014). Minimal regularity conditions for the end-point estimate of bilinear. Proceedings of the American Mathematical Society, Series B, 1, 1-13.
2330-1511
http://hdl.handle.net/11441/43017
10.1090/S2330-1511-2014-00009-2
https://idus.us.es/xmlui/handle/11441/43017
Minimal regularity conditions on the kernels of bilinear operators are identi-
fied and shown to be sufficient for the existence of end-point estimates within the context of the bilinear Calderón-Zygmund theory.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
multilinear singular integral
Calderón-Zygmund theory
weak-type estimates
end-point estimates
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
info:eu-repo/semantics/article
RGVjbGFyYSBxdWU6CgphKSBFcyBhdXRvciB5IHRpdHVsYXIgZGUgbG9zIGRlcmVjaG9zIGRlIHByb3BpZWRhZCBpbnRlbGVjdHVhbC4KCgpiKSBTaSBleGlzdGUgcHJldmlhIGNlc2nDs24gYSB0ZXJjZXJvcyBkZSBsb3MgZGVyZWNob3MgZGUgZXhwbG90YWNpw7NuIGRlIGxhIG9icmEsIGN1ZW50YSBjb24gbGEgYXV0b3JpemFjacOzbiBkZSBkaWNob3MgdGl0dWxhcmVzLiAKCgpjKSBTaSBlbCBkb2N1bWVudG8gY29udGllbmUgbWF0ZXJpYWxlcyBkZSBsb3MgcXVlIG5vIGVzIHRpdHVsYXIgZGUgbG9zIGRlcmVjaG9zIGRlIGV4cGxvdGFjacOzbiwgIHRpZW5lIGVsIHBlcm1pc28gcGFyYSBkZXBvc2l0YXJsb3MgeSBxdWUgZXNlIG1hdGVyaWFsIGVzdMOhIGlkZW50aWZpY2FkbyBjbGFyYW1lbnRlLgoKCkVsIGF1dG9yIHJlYWxpemEgbGEgY2VzacOzbiBncmF0dWl0YSB5IG5vIGV4Y2x1c2l2YSBhIGxhIFVuaXZlcnNpZGFkIGRlIFNldmlsbGEgZGUgbG9zIGRlcmVjaG9zIGRlIHJlcHJvZHVjY2nDs24sIGRpc3RyaWJ1Y2nDs24sIGNvbXVuaWNhY2nDs24gcMO6YmxpY2EgeSB0cmFuc2Zvcm1hY2nDs247IHBlcm1pdGllbmRvIGFsIHJlcG9zaXRvcmlvOgoKCglUcmFuc2Zvcm1hY2nDs24gZGVsIGZvcm1hdG8gcGFyYSBzdSBpbmNvcnBvcmFjacOzbiB5IHByZXNlcnZhY2nDs24uCgoKCVJlcHJvZHVjY2nDs24geSBhcmNoaXZvICBlbiBsb3Mgc2Vydmlkb3JlcyBhc29jaWFkb3MgYWwgcmVwb3NpdG9yaW8uCgoKCVN1IGNvbXVuaWNhY2nDs24gcMO6YmxpY2EgeSBzdSBwdWVzdGEgYSBkaXNwb3NpY2nDs24gZGUgbW9kbyBsaWJyZSB5IGdyYXR1aXRvIGEgdHJhdsOpcyBkZWwgYXJjaGl2byBhYmllcnRvIGluc3RpdHVjaW9uYWwKCgpFbCBhdXRvciBhdXRvcml6YSBxdWUgbGEgb2JyYSBzZSBwb25nYSBhIGRpc3Bvc2ljacOzbiBkZSBsb3MgdXN1YXJpb3MgYSB0cmF2w6lzIGRlbCByZXBvc2l0b3JpbyBpbnN0aXR1Y2lvbmFsIHBhcmEgcXVlIHNlIGhhZ2EgdW4gdXNvIGp1c3RvLCByZXNwZXRhbmRvIGxvcyBkZXJlY2hvcyBkZSBhdXRvciBxdWUgbGEgbGVnaXNsYWNpw7NuIGVzdGFibGVjZSB5IGNvbmZvcm1lIGNvbiBsYXMgY29uZGljaW9uZXMgbWFyY2FkYXMgcG9yIGxhIGxpY2VuY2lhIGRlIHVzbwo=
URL
https://idus.us.es/bitstream/11441/43017/1/Minimal%20regularity%20conditions%20for%20the%20end-point%20estimate%20of%20bilinear.pdf
File
MD5
62a8f2f350ff2ab8697d44a232b17d91
178098
application/pdf
Minimal regularity conditions for the end-point estimate of bilinear.pdf
oai:idus.us.es:11441/471912024-02-13T20:21:53Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2016-10-07T10:52:48Z
2016-10-07T10:52:48Z
2013-08
Martín Márquez, V., Reich, S. y Sabach, S. (2013). Iterative methods for approximating fixed points of Bregman nonexpansive operators. Discrete and Continuous Dynamical Systems - Series S, 6 (4), 1043-1063.
1937-16321937-1179
http://hdl.handle.net/11441/47191
10.3934/dcdss.2013.6.1043
https://idus.us.es/xmlui/handle/11441/47191
Diverse notions of nonexpansive type operators have been extended to the
more general framework of Bregman distances in reflexive Banach spaces. We study these classes of operators, mainly with respect to the existence and approximation of their (asymptotic) fixed points. In particular, the asymptotic behavior of Picard and Mann type iterations is discussed for quasi-Bregman nonexpansive operators. We also present parallel algorithms for approximating common fixed points of a finite family of Bregman strongly nonexpansive operators by means of a block operator which preserves the Bregman strong nonexpansivity. All the results hold, in particular, for the smaller class of Bregman firmly nonexpansive operators, a class which contains the generalized resolvents of monotone mappings with respect to the Bregman distance.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Banach space
Bregman distance
Bregman firmly nonexpansive operator
Bregman strongly nonexpansive operator
Bregman projection
Fixed point
Iterative algorithm
Legendre function
Totally convex function
Iterative methods for approximating fixed points of Bregman nonexpansive operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/47191/1/Iterative%20methods%20for%20approximating%20fixed%20points%20of%20Bregman%20nonexpansive%20operators.pdf
File
MD5
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379052
application/pdf
Iterative methods for approximating fixed points of Bregman nonexpansive operators.pdf
oai:idus.us.es:11441/490952024-02-13T09:01:35Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Análisis Matemático
2016-11-24T12:08:15Z
2016-11-24T12:08:15Z
2010
Castro Martínez, Á., Córdoba Gazolaz, D. y Gancedo García, F. (2010). Some recent results on the Muskat problem. Journées Équations aux dérivées partielles, 299 (2), 1-14.
0752-03602118-9366
http://hdl.handle.net/11441/49095
10.5802/jedp.62
https://idus.us.es/xmlui/handle/11441/49095
We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the two-phase Hele-Shaw cell. The purpose of this paper is to outline recent results on local existence, weak solutions, maximum principles and global existence.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Multiple fluids
Porous media
Hele-Shaw problems
Some recent results on the Muskat problem
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/49095/1/Some%20recent%20results%20on%20the%20Muskat%20problem.pdf
File
MD5
464dbc003f8926fe88c7bec89111f3ea
561633
application/pdf
Some recent results on the Muskat problem.pdf
oai:idus.us.es:11441/465382024-02-13T09:46:36Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matemático
funder
Ministerio de Educación y Ciencia (MEC). España
2016-09-30T11:20:21Z
2016-09-30T11:20:21Z
2011-06
Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2011). Thin sets of integers in Harmonic analysis and p-stable random Fourier series. Journal d'Analyse Mathématique, 115 (1), 187-211.
0021-76701565-8538
http://hdl.handle.net/11441/46538
10.1007/s11854-011-0027-6
https://idus.us.es/xmlui/handle/11441/46538
We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces Gaussian or Rademacher variables by p-stable ones, with 1 < p < 2. We show that in one case this behavior is essentially the same as in the Gaussian case, whereas in
another case, this behavior is entirely different.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Fourier series
Quasi-independent set
Rider set
Stable random variables
Stationary set
Thin sets of integers in Harmonic analysis and p-stable random Fourier series
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/46538/1/Thin%20sets%20of%20integers%20in%20harmonic%20analysis%20and%20p-stable%20random%20Fourier%20series.pdf
File
MD5
8c672c9a9dcbab80ea8da2ec1f9e0a52
279632
application/pdf
Thin sets of integers in harmonic analysis and p-stable random Fourier series.pdf
oai:idus.us.es:11441/235202024-02-14T19:41:31Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10848col_11441_10809col_11441_10849
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Física Aplicada I
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Ministerio de Economía y Competitividad (MINECO). España
2015-03-20T13:07:11Z
2015-03-20T13:07:11Z
2013
2160-33082160-3308
http://hdl.handle.net/11441/23520
10.1103/PhysRevX.3.041014
https://idus.us.es/xmlui/handle/11441/23520
Ratchets are devices that are able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets, the asymmetry is induced through a proper choice of external forces and modulations of nonlinear symmetric potentials. The ratchet currents thus obtained in systems as different as semiconductors, Josephson junctions, optical lattices, or ferrofluids show a set of universal features. A satisfactory explanation for them has challenged theorists for decades, and so far, we still lack a general theory of this phenomenon. Here, we provide such a theory by exploring—through functional analysis—the constraints that the simple assumption of time-shift invariance of the ratchet current imposes on its dependence on the external drivings. Because the derivation is based on so general a principle, the resulting expression is valid irrespective of the details and the nature of the physical systems to which it is applied, and of whether they are classical, quantum, or stochastic. The theory also explains deviations observed from universality under special conditions and allows us to make predictions of phenomena not yet observed in any experiment or simulation.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/23520/1/Niurka_PRx_1.pdf
File
MD5
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Niurka_PRx_1.pdf
oai:idus.us.es:11441/423862024-02-17T17:27:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-16T09:37:19Z
2016-06-16T09:37:19Z
2016
Ombrosi, S.J., Pérez Moreno, C. y Recchi, D.J. (2016). Quantitative weighted mixed weak-type inequalities for classical operators. Indiana University Mathematics Journal, 65 (2), 615-640.
0022-25181943-5258
http://hdl.handle.net/11441/42386
http://dx.doi.org/10.1512/iumj.2016.65.5773
https://idus.us.es/xmlui/handle/11441/42386
We improve on several mixed weak-type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These types of inequalities were considered by Muckenhoupt and Wheeden and later on by Sawyer estimating the L1,∞(uv) norm of v −1T (f v) for special cases. The emphasis is made in proving new and more precise quantitative
estimates involving the Ap or A∞ constants of the weights involved.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Maximal operators
Calderón-Zygmund operators
weighted estimates
Quantitative weighted mixed weak-type inequalities for classical operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42386/1/Quantitative%20weighted%20mixed%20weak-type%20inequalities%20for%20classical%20operators.pdf
File
MD5
73f5bd24271d43736572b4d87b599976
265257
application/pdf
Quantitative weighted mixed weak-type inequalities for classical operators.pdf
oai:idus.us.es:11441/490682024-02-14T09:03:57Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-11-24T09:13:04Z
2016-11-24T09:13:04Z
2015-03
Benyi, A., Damián González, W., Moen, K. y Torres, R.H. (2015). Compact bilinear commutators: the weighted case. Michigan Mathematical Journal, 64 (1), 39-51.
0026-22851945-2365
http://hdl.handle.net/11441/49068
10.1307/mmj/1427203284
https://idus.us.es/xmlui/handle/11441/49068
Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillation are shown to be compact on appropriate products of weighted Lebesgue spaces.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Compact bilinear commutators: the weighted case
info:eu-repo/semantics/article
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
URL
https://idus.us.es/bitstream/11441/49068/1/Compact%20bilinear%20commutators%20the%20weighted%20case.pdf
File
MD5
d9971f952b4fe9539ca874ce2223af5a
148740
application/pdf
Compact bilinear commutators the weighted case.pdf
oai:idus.us.es:11441/417942018-02-02T09:48:46Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/423902024-02-14T09:24:42Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-16T09:59:11Z
2016-06-16T09:59:11Z
1991
Álvarez Alonso, J., Hounie, J.G. y Pérez Moreno, C. (1991). A pointwise estimate for the kernel of a pseudo-differential operator, with applications. Revista de Ia Unión Matemática Argentina, 37, 184-199.
0041-69321669-9637
http://hdl.handle.net/11441/42390
https://idus.us.es/xmlui/handle/11441/42390
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
A pointwise estimate for the kernel of a pseudo-differential operator, with applications
info:eu-repo/semantics/article
RGVjbGFyYSBxdWU6CgphKSBFcyBhdXRvciB5IHRpdHVsYXIgZGUgbG9zIGRlcmVjaG9zIGRlIHByb3BpZWRhZCBpbnRlbGVjdHVhbC4KCgpiKSBTaSBleGlzdGUgcHJldmlhIGNlc2nDs24gYSB0ZXJjZXJvcyBkZSBsb3MgZGVyZWNob3MgZGUgZXhwbG90YWNpw7NuIGRlIGxhIG9icmEsIGN1ZW50YSBjb24gbGEgYXV0b3JpemFjacOzbiBkZSBkaWNob3MgdGl0dWxhcmVzLiAKCgpjKSBTaSBlbCBkb2N1bWVudG8gY29udGllbmUgbWF0ZXJpYWxlcyBkZSBsb3MgcXVlIG5vIGVzIHRpdHVsYXIgZGUgbG9zIGRlcmVjaG9zIGRlIGV4cGxvdGFjacOzbiwgIHRpZW5lIGVsIHBlcm1pc28gcGFyYSBkZXBvc2l0YXJsb3MgeSBxdWUgZXNlIG1hdGVyaWFsIGVzdMOhIGlkZW50aWZpY2FkbyBjbGFyYW1lbnRlLgoKCkVsIGF1dG9yIHJlYWxpemEgbGEgY2VzacOzbiBncmF0dWl0YSB5IG5vIGV4Y2x1c2l2YSBhIGxhIFVuaXZlcnNpZGFkIGRlIFNldmlsbGEgZGUgbG9zIGRlcmVjaG9zIGRlIHJlcHJvZHVjY2nDs24sIGRpc3RyaWJ1Y2nDs24sIGNvbXVuaWNhY2nDs24gcMO6YmxpY2EgeSB0cmFuc2Zvcm1hY2nDs247IHBlcm1pdGllbmRvIGFsIHJlcG9zaXRvcmlvOgoKCglUcmFuc2Zvcm1hY2nDs24gZGVsIGZvcm1hdG8gcGFyYSBzdSBpbmNvcnBvcmFjacOzbiB5IHByZXNlcnZhY2nDs24uCgoKCVJlcHJvZHVjY2nDs24geSBhcmNoaXZvICBlbiBsb3Mgc2Vydmlkb3JlcyBhc29jaWFkb3MgYWwgcmVwb3NpdG9yaW8uCgoKCVN1IGNvbXVuaWNhY2nDs24gcMO6YmxpY2EgeSBzdSBwdWVzdGEgYSBkaXNwb3NpY2nDs24gZGUgbW9kbyBsaWJyZSB5IGdyYXR1aXRvIGEgdHJhdsOpcyBkZWwgYXJjaGl2byBhYmllcnRvIGluc3RpdHVjaW9uYWwKCgpFbCBhdXRvciBhdXRvcml6YSBxdWUgbGEgb2JyYSBzZSBwb25nYSBhIGRpc3Bvc2ljacOzbiBkZSBsb3MgdXN1YXJpb3MgYSB0cmF2w6lzIGRlbCByZXBvc2l0b3JpbyBpbnN0aXR1Y2lvbmFsIHBhcmEgcXVlIHNlIGhhZ2EgdW4gdXNvIGp1c3RvLCByZXNwZXRhbmRvIGxvcyBkZXJlY2hvcyBkZSBhdXRvciBxdWUgbGEgbGVnaXNsYWNpw7NuIGVzdGFibGVjZSB5IGNvbmZvcm1lIGNvbiBsYXMgY29uZGljaW9uZXMgbWFyY2FkYXMgcG9yIGxhIGxpY2VuY2lhIGRlIHVzbwo=
URL
https://idus.us.es/bitstream/11441/42390/1/A%20pointwise%20estimate%20for%20the%20kernel%20of%20a%20pseudo-differential%20operator%2c%20with%20applications.pdf
File
MD5
ca578bd39d69952c6e9edd182a33af1d
4879898
application/pdf
A pointwise estimate for the kernel of a pseudo-differential operator, with applications.pdf
oai:idus.us.es:11441/429992024-02-13T09:57:09Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM-354: Análisis Real
funder
European Union (UE)
funder
Ministerio de Ciencia e Innovación (MICIN). España
2016-07-01T07:36:35Z
2016-07-01T07:36:35Z
2015-08-01
Hytönen, T. y Pérez Moreno, C. (2015). The L(log L)e endpoint estimate for maximal singular integral operators. Journal of Mathematical Analysis and Applications, 428 (1), 605-626.
0022-247X
http://hdl.handle.net/11441/42999
10.1016/j.jmaa.2015.03.017
https://idus.us.es/xmlui/handle/11441/42999
We prove in this paper the following estimate for the maximal operator T
∗
associated to the
singular integral operator T:
kT
∗
fkL
1,∞ (w) .
1
ǫ
Z
Rn
| f(x)| ML(log L)
ǫ
(w)(x) dx, w ≥ 0, 0 < ǫ ≤ 1.
This follows from the sharp L
p
estimate
kT
∗
fkLp
(w) . p
′
(
1
δ
)
1/p
′
kfk
L
p
(ML(log L)
p−1+δ (w)), 1 < p < ∞, w ≥ 0, 0 < δ ≤ 1.
As as a consequence we deduce that
kT
∗
fkL
1,∞ (w) . [w]A1
log(e + [w]A∞
)
Z
Rn
| f | w dx,
extending the endpoint results obtained in [LOP] A. Lerner, S. Ombrosi and C. Pérez, A1 bounds for Calderón-Zygmund operators related
to a problem of Muckenhoupt and Wheeden, Mathematical Research Letters (2009), 16,
149–156 and [HP] T. Hytönen and C. Pérez, Sharp weighted bounds involving A∞, Analysis and P.D.E. 6
(2013), 777–818. DOI 10.2140/apde.2013.6.777 to maximal singular integrals. Another
consequence is a quantitative two weight bump estimate.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
maximal operators
Calderón–Zygmund operators
weighted estimates
The L(log L)e endpoint estimate for maximal singular integral operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42999/1/The%20L%28log%20L%29e%20endpoint%20estimate%20for%20maximal%20singular%20integral%20operators.pdf
File
MD5
3e553bc6c04623ee3e72f701118c285c
173297
application/pdf
The L(log L)e endpoint estimate for maximal singular integral operators.pdf
oai:idus.us.es:11441/453152024-02-17T16:56:36Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
funder
Ministerio de Educación y Ciencia (MEC). España
funder
Comunidad Autónoma de Madrid
2016-09-23T06:20:41Z
2016-09-23T06:20:41Z
2007-06
Córdoba Gazolaz, D., Gancedo García, F. y Orive Illera, R. (2007). Analytical behavior of two-dimensional incompressible flow in porous media. Journal of Mathematical Physics, 48 (6)
0022-24881089-7658
http://hdl.handle.net/11441/45315
10.1063/1.2404593
https://idus.us.es/xmlui/handle/11441/45315
In this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy’s law. We obtain local existence and uniqueness by the particle-trajectory method and we present different global existence criterions.
These analytical results with numerical simulations are used to indicate nonformation of singularities. Moreover, blow-up results are shown in a class of solutions with infinite energy.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Flows in porous media
Analytical behavior of two-dimensional incompressible flow in porous media
info:eu-repo/semantics/article
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
URL
https://idus.us.es/bitstream/11441/45315/1/Analytical%20behavior%20of%20two-dimensional%20incompressible%20flow%20in%20porous%20media.pdf
File
MD5
e4b024cfd716dd607fa870ae175d5b59
1609521
application/pdf
Analytical behavior of two-dimensional incompressible flow in porous media.pdf
oai:idus.us.es:11441/493142024-02-14T13:28:00Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Ministerio de Economía y Competitividad (MINECO). España
funder
Academy of Finland
2016-11-29T11:28:29Z
2016-11-29T11:28:29Z
2014-01-01
Luque Martínez, T.E. y Parissis, I. (2014). The endpoint Fefferman-Stein inequality for the strong maximal function. Journal of Functional Analysis, 266 (1), 199-212.
0022-1236
http://hdl.handle.net/11441/49314
10.1016/j.jfa.2013.09.028
https://idus.us.es/xmlui/handle/11441/49314
Let Mnf denote the strong maximal function of f on Rn, that is the maximal
average of f with respect to n-dimensional rectangles with sides parallel to the coordinate axes. For any dimension n > 2 we prove the natural endpoint Fefferman-Stein inequality for Mn and any strong Muckenhoupt weight w:
w({x ∈ Rn : Mnf(x) > λ}) .w,n Z Rn |f(x)| λ 1 + log+ |f(x)| λ n−1 Mnw(x)dx.
This extends the corresponding two-dimensional result of T. Mitsis.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Strong maximal function
Strong Muckenhoupt weights
Fefferman-Stein inequality
The endpoint Fefferman-Stein inequality for the strong maximal function
info:eu-repo/semantics/article
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
URL
https://idus.us.es/bitstream/11441/49314/1/The%20endpoint%20Fefferman-Stein%20inequality%20for%20the%20strong%20maximal%20function.pdf
File
MD5
a1b344e2a653c47345a38ccfc41358a1
193371
application/pdf
The endpoint Fefferman-Stein inequality for the strong maximal function.pdf
oai:idus.us.es:11441/1537582024-02-14T08:46:03Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2024-01-22T13:02:05Z
2024-01-22T13:02:05Z
2019-12-01
Anguiano Moreno, M. y Bunoiu, R. (2019). Homogenization of Bingham flow in thin porous media. Networks and Heterogeneous Media, 15 (1), 87-110. https://doi.org/10.3934/nhm.2020004.
1556-18011556-181X
https://hdl.handle.net/11441/153758
10.3934/nhm.2020004
By using dimension reduction and homogenization techniques, we study the steady flow of an incompresible viscoplastic Bingham fluid in a thin porous medium. A main feature of our study is the dependence of the yield stress of the Bingham fluid on the small parameters describing the geometry of the thin porous medium under consideration. Three different problems are obtained in the limit when the small parameter
tends to zero, following the ratio between the height
of the porous medium and the relative dimension
of its periodically distributed pores. We conclude with the interpretation of these limit problems, which all preserve the nonlinear character of the flow.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Porous medium
thin domain
Bingham fluid
Homogenization of Bingham flow in thin porous media
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/153758/1/Art.%208.pdf
File
MD5
9cd30a1540c9eab05a73f05dacf18614
801684
application/pdf
Art. 8.pdf
oai:idus.us.es:11441/471362018-02-02T08:35:08Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809oai:idus.us.es:11441/493022024-02-13T22:00:10Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Romanian National Authority for Scientific Research
funder
Ministry of Education. Romania
2016-11-29T10:58:54Z
2016-11-29T10:58:54Z
2016-12
Leustean, L. y Nicolae, A. (201-). Effective results on nonlinear ergodic averages in CAT(κ) spaces. Ergodic Theory and Dynamical Systems, 36 (8), 2580-2601.
0143-38571469-4417
http://hdl.handle.net/11441/49302
10.1017/etds.2015.31
https://idus.us.es/xmlui/handle/11441/49302
In this paper we apply proof mining techniques to compute, in the setting of
CAT(κ) spaces (with κ > 0), effective and highly uniform rates of asymptotic regularity and metastability for a nonlinear generalization of the ergodic averages, known as the Halpern iteration. In this way, we obtain a uniform quantitative version of a nonlinear extension of the classical von Neumann mean ergodic theorem.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Proof mining
Nonlinear ergodic averages
CAT(κ) spaces
Rates of metastabilty
Halpern iteration
Asymptotic regularity
Effective results on nonlinear ergodic averages in CAT(κ) spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/49302/1/Effective%20results%20on%20nonlinear%20ergodic%20averages%20in%20CAT%28%ce%ba%29%20spaces.pdf
File
MD5
a49acd29b4d959cb230783288c17b3c8
472230
application/pdf
Effective results on nonlinear ergodic averages in CAT(κ) spaces.pdf
oai:idus.us.es:11441/438422019-04-03T05:48:45Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
funder
Ministerio de Educación y Ciencia (MEC). España
funder
Junta de Andalucía
2016-07-21T09:52:32Z
2016-07-21T09:52:32Z
2010
Ariza Ruiz, D. y Jiménez Melado, A. (2010). A continuation method for weakly Kannan maps. Fixed Point Theory and Applications, 2010, 321594-1-321594-12.
1687-18201687-1812
http://hdl.handle.net/11441/43842
10.1155/2010/321594
https://idus.us.es/xmlui/handle/11441/43842
The first continuation method for contractive maps in the setting of a metric space was given by Granas. Later, Frigon extended Granas theorem to the class of weakly contractive maps, and recently Agarwal and O’Regan have given the corresponding result for a certain type of quasicontractions which includes maps of Kannan type. In this note we introduce the concept
of weakly Kannan maps and give a fixed point theorem, and then a continuation method, for this class of maps.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
A continuation method for weakly Kannan maps
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/43842/1/A%20continuation%20method%20for%20weakly%20Kannan%20maps.pdf
File
MD5
d984eda2570aa06f8754ef82710e5af2
207809
application/pdf
A continuation method for weakly Kannan maps.pdf
oai:idus.us.es:11441/285572024-02-13T08:52:26Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2015-09-18T08:42:54Z
2015-09-18T08:42:54Z
1982
0034-05961137-2141
http://hdl.handle.net/11441/28557
https://idus.us.es/xmlui/handle/11441/28557
spa
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Definición y estudio de una función indefinidamente diferenciable de soporte compacto
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/28557/1/Definicion%20y%20estudio%20de%20una%20funcion%20indefinidamente%20diferenciable%20de%20soporte%20compacto.pdf
File
MD5
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1071259
application/pdf
Definicion y estudio de una funcion indefinidamente diferenciable de soporte compacto.pdf
oai:idus.us.es:11441/471992024-02-17T17:35:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2016-10-07T11:14:36Z
2016-10-07T11:14:36Z
2012-09
Martín Márquez, V., Reich, S. y Sabach, S. (2012). Right Bregman nonexpansive operators in Banach spaces. Nonlinear Analysis: Theory, Methods and Applications, 75 (14), 5448-5465.
0362-546X
http://hdl.handle.net/11441/47199
10.1016/j.na.2012.04.048
https://idus.us.es/xmlui/handle/11441/47199
We introduce and study new classes of Bregman nonexpansive operators
in reflexive Banach spaces. These classes of operators are associated with the Bregman distance induced by a convex function. In particular, we characterize sunny right quasi-Bregman nonexpansive retractions, and as a consequence we show that the fixed point set of any right quasi-Bregman nonexpansive operator is a sunny right quasi-Bregman nonexpansive retract of the ambient Banach space.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Boltzmann-Shannon entropy
Bregman distance
Bregman firmly nonexpansive operator
Fermi-Dirac entropy
Legendre function
Monotone mapping
Nonexpansive operator
Reflexive Banach space
Resolvent
Retraction
T-monotone mapping
Totally convex function
Right Bregman nonexpansive operators in Banach spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/47199/1/Right%20Bregman%20nonexpansive%20operators%20in%20Banach%20spaces.pdf
File
MD5
2adec24783785f6be959d8de820fe17f
423760
application/pdf
Right Bregman nonexpansive operators in Banach spaces.pdf
oai:idus.us.es:11441/418442024-02-14T11:08:43Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
funder
Dirección General de Investigación Científica y Técnica (DGICYT). España
funder
Junta de Andalucía
2016-06-03T09:14:50Z
2016-06-03T09:14:50Z
1997
Ordóñez Cabrera, M.H. (1997). Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces. International Journal of Mathematics and Mathematical Sciences, 20, 443-450.
0161-17121687-0425
http://hdl.handle.net/11441/41844
10.1155/S0161171297000604
https://idus.us.es/xmlui/handle/11441/41844
The convergence in mean of a weighted sum ka.k(Xk EXk) of random
elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {a.. }-compactly uniform integrability of {X. }. This condition, which is implied by the tightness of {X,,} and the {a,,k }-uniform integrability of {[IX,, II}, is weaker than the compactly miform integrability of {X,,} and leads
to a result of convergence in mean which is strictly stronger than a recent result of Wang, Rao and Deli.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Weighted sums
random elements in separable Banach spaces
compactly uniform integrability
{an,k}-compactly uniform integrability
tightness
{an,k}- uniform integrability
convergence in mean
Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41844/1/Convergence%20in%20mean%20of%20weighted%20sums%20of%20%7ban%2ck%7d-compactly%20uniformly%20integrable%20random%20elements%20in%20Banach%20spaces.pdf
File
MD5
58e12bc62f0daa63e734f538ecd62352
2385681
application/pdf
Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces.pdf
oai:idus.us.es:11441/417532018-03-28T10:31:44Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-01T09:02:35Z
2016-06-01T09:02:35Z
2011
Rodríguez Quintero, N., Álvarez Nodarse, R. y Cuesta Ruiz, J.A. (2011). Ratchet effect on a relativistic particle driven by external forces. Journal of physics. A, Mathematical and general, 44, 425205-1-425205-10.
0305-44701361-6447
http://hdl.handle.net/11441/41753
10.1088/1751-8113/44/42/425205
https://idus.us.es/xmlui/handle/11441/41753
We study the ratchet effect of a damped relativistic particle driven by
both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing the ratchet velocity as a non-linear functional of the driving force. This allows us to explicitly illustrate the functional Taylor expansion formalism recently proposed for this kind of systems. The Taylor expansion reveals particularly useful to obtain the shape of the current when the force is periodic, piecewise constant. We also illustrate the somewhat counterintuitive effect that introducing damping may induce a ratchet effect. When the force is symmetric under time-reversal and the system is undamped, under symmetry principles no ratchet effect is possible. In this situation increasing damping generates a ratchet current which, upon increasing the damping coefficient eventually reaches a maximum and decreases toward zero. We argue that this effect is not specific of this example and should appear in any ratchet system with tunable damping driven by a time-reversible external force.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Ratchet effect on a relativistic particle driven by external forces
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41753/1/Ratchet%20effect%20on%20a%20relativistic%20particle%20driven%20by%20external%20forces.pdf
File
MD5
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application/pdf
Ratchet effect on a relativistic particle driven by external forces.pdf
oai:idus.us.es:11441/421312024-02-13T20:15:16Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-10T11:27:55Z
2016-06-10T11:27:55Z
2012-12-01
Arias de Reyna Martínez, J. y Van de Lune, J. (2012). Some bounds and limits in the theory of Riemann's zeta function. Journal of Mathematical Analysis and Applications, 396 (1), 199-214.
1096-08130022-247X
http://hdl.handle.net/11441/42131
http://dx.doi.org/10.1016/j.jmaa.2012.06.017
https://idus.us.es/xmlui/handle/11441/42131
For any real a > 0 we determine the supremum of the real σ such that ζ(σ+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different. We also determine the supremum E of the real parts of the ‘turning points’, that is points σ + it where a curve Im ζ(σ + it) = 0 has a vertical tangent. This supremum E (also considered by Titchmarsh) coincides with the supremum of the real σ such that ζ 0 (σ + it) = 0 for some real t. We find a surprising connection between the three indicated
problems: ζ(s) = 1, ζ 0 (s) = 0 and turning points of ζ(s). The almost extremal values for these three problems appear to be located at approximately the same height.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
zeta function
LLL algorithm
extreme values
Some bounds and limits in the theory of Riemann's zeta function
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/42131/1/Some%20bounds%20and%20limits%20in%20the%20theory%20of%20Riemann%27s%20zeta%20function.pdf
File
MD5
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557682
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Some bounds and limits in the theory of Riemann's zeta function.pdf
oai:idus.us.es:11441/485202024-02-17T17:17:51Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM354: Análisis Real
2016-11-14T10:31:37Z
2016-11-14T10:31:37Z
2002
Orobitg Huguet, J. y Pérez Moreno, C. (2002). Ap weights for nondoubling measures in Rn and applications. Transactions of the American Mathematical Society, 354 (5), 2013-2033.
0002-99471088-6850
http://hdl.handle.net/11441/48520
10.1090/S0002-9947-02-02922-7
https://idus.us.es/xmlui/handle/11441/48520
We study an analogue of the classical theory of Ap(µ) weights in Rn without assuming that the underlying measure µ is doubling. Then, we obtain weighted norm inequalities for the (centered) Hardy-Littlewood maximal
function and corresponding weighted estimates for nonclassical Calderón-Zygmund operators. We also consider commutators of those Calderón-Zygmund operators with bounded mean oscillation functions (BMO), extending the main result from R. Coifman, R. Rochberg, and G. Weiss, Factorization theorems for Hardy spaces in several variables, Ann. of Math. 103 (1976), 611–635. Finally, we study self-improving properties of Poincaré-B.M.O. type inequalities within this context; more precisely, we show that if f is a locally integrable function satisfying 1 / µ(Q)R Q |f − fQ|dµ ≤ a(Q) for all cubes Q, then it is possible to deduce a higher Lp integrability result for f, assuming a certain simple geometric condition on the functional a.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Ap weights for nondoubling measures in Rn and applications
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/48520/1/Ap%20weights%20for%20nondoubling%20measures%20in%20Rn%20and%20applications.pdf
File
MD5
dcd39526a0b2af59a9801b8c2e811b80
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application/pdf
Ap weights for nondoubling measures in Rn and applications.pdf
oai:idus.us.es:11441/1537512024-02-13T09:00:02Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM104: Analisis Matematico
2024-01-22T12:39:36Z
2024-01-22T12:39:36Z
2021-06-01
Anguiano Moreno, M. y Suárez Grau, F.J. (2021). Lower-Dimensional Nonlinear Brinkman’s Law for Non-Newtonian Flows in a Thin Porous Medium. Mediterranean Journal of Mathematics, 18, 175-1. https://doi.org/10.1007/s00009-021-01814-5.
1660-54461660-5454
https://hdl.handle.net/11441/153751
10.1007/s00009-021-01814-5
In this paper, we study the stationary incompressible power law fluid flow in a thin porous medium. The media under consideration is a bounded perforated 3D domain confined between two parallel plates, where the distance between the plates is very small. The perforation consists in an array solid cylinders, which connect the plates in perpendicular direction, distributed periodically with diameters of small size compared to the period. For a specific choice of the thickness of the domain, we found that the homogenization of the power law Stokes system results a lower-dimensional nonlinear Brinkman type law.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Homogenization
non-Newtonian fluid
power law fluid
thin porous medium
Brinkman’s law
Lower-Dimensional Nonlinear Brinkman’s Law for Non-Newtonian Flows in a Thin Porous Medium
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/153751/1/Art.%205.pdf
File
MD5
75288c3aee0956adc9b3b4c569363ee2
668658
application/pdf
Art. 5.pdf
oai:idus.us.es:11441/285562024-02-14T19:36:27Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2015-09-18T08:30:24Z
2015-09-18T08:30:24Z
1985
1137-21410034-0596
http://hdl.handle.net/11441/28556
https://idus.us.es/xmlui/handle/11441/28556
Let ∑ be an infinite σ-field and denote by I ∞ 0 (∑) the space spanned by the characteristic functions of elements of ∑, endowed with the supremum norm. We prove that I ∞ 0 (∑) is not totally barrelled.
spa
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
I ∞ 0 (∑) no es totalmente tonelado
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/28556/1/I%20%e2%88%9e%200%20%28%e2%88%91%29%20no%20es%20totalmente%20tonelado.pdf
File
MD5
1c87e37bd6a49e58b16f69eea4346961
266044
application/pdf
I ∞ 0 (∑) no es totalmente tonelado.pdf
oai:idus.us.es:11441/1287202024-02-13T09:23:23Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978com_11441_10898col_11441_10809col_11441_10979col_11441_10899
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
2022-01-10T17:43:57Z
2022-01-10T17:43:57Z
2022
Aguilar-Hernández, T., Contreras Márquez, M.D. y Rodríguez Piazza, L. (2022). Average radial integrability spaces of analytic functions. Journal of Functional Analysis, 282 (1), Article number 109262.
0022-1236
https://hdl.handle.net/11441/128720
10.1016/j.jfa.2021.109262
In this paper we introduce the family of spaces RM(p, q),
1 ≤ p, q ≤ +∞. They are spaces of holomorphic functions
in the unit disc with average radial integrability. This
family contains the classical Hardy spaces (when p = ∞)
and Bergman spaces (when p = q). We characterize the
inclusion between RM(p1, q1) and RM(p2, q2) depending on
the parameters. For 1 < p, q < ∞, our main result provides a
characterization of the dual spaces of RM(p, q) by means
of the boundedness of the Bergman projection. We show
that RM(p, q) is separable if and only if q < +∞. In fact,
we provide a method to build isomorphic copies of ∞ in
RM(p, ∞).
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Mixed norm spaces
Radial integrability
Bergman projection
Average radial integrability spaces of analytic functions
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/128720/1/Average%20radial%20integrability%20spaces%20of%20analytic%20functions.pdf
File
MD5
78f2baa934962bd1cfa1e980c9c7e9fe
574369
application/pdf
Average radial integrability spaces of analytic functions.pdf
oai:idus.us.es:11441/472732024-02-15T07:31:10Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM-354 Análisis Real
funder
Dirección General de Investigación Científica y Técnica (DGICYT). España
funder
National Science Foundation (NSF). United States
2016-10-10T09:24:39Z
2016-10-10T09:24:39Z
2001-04-01
Pérez Moreno, C. y Wheeden, R.L. (2001). Uncertainty principle estimates for vector fields. Journal of Functional Analysis, 181 (1), 146-188.
0022-1236
http://hdl.handle.net/11441/47273
10.1006/jfan.2000.3711
https://idus.us.es/xmlui/handle/11441/47273
We derive weighted norm estimates for integral operators of potential type and for their related maximal operators. These operators are generalizations of the classical fractional integrals and fractional maximal functions. The norm estimates are derived in the context of a space of homogeneous type. The conditions required of the weight functions involve generalizations of the Fefferman-Phong "r-bump" condition. The results improve some earlier ones of the same kind, and they also extend to homogeneous spaces some estimates that were previously known to hold only in the classical Euclidean setting.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Uncertainty principle estimates for vector fields
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/47273/1/Uncertainty%20principle%20estimates%20for%20vector%20fields.pdf
File
MD5
9c8bd09b329274549160afce0e455790
361875
application/pdf
Uncertainty principle estimates for vector fields.pdf
oai:idus.us.es:11441/875052024-02-13T08:56:46Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-19T07:18:30Z
2019-06-19T07:18:30Z
1997-03-15
Bernal González, L. (1997). Small entire functions with extremely fast growth. Journal of Mathematical Analysis and Applications, 207 (2), 541-548.
0022-247X
https://hdl.handle.net/11441/87505
10.1006/jmaa.1997.5312
We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions such that
limz→∞ exp(|z|α)f(j)(z) = 0 on any plane strip for every f ∈ M and for every derivation index j. Moreover, the growth index of each nonnull function of M is infinite with respect to any prefixed sequence of nonconstant entire functions.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Liouville’s theorem
Entire functions
Dense linear manifold
Arakelian set
Strips and sectors
Generalized order
Growth index
Small entire functions with extremely fast growth
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/87505/1/Small%20entire%20functions%20with%20extremely%20fast%20growth.pdf
File
MD5
7fd6bdc84e9db8800564ce75f4ea1de1
86099
application/pdf
Small entire functions with extremely fast growth.pdf
oai:idus.us.es:11441/417882024-02-13T09:01:14Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
sponsorship
Plan Andaluz de Investigación (Junta de Andalucía)
sponsorship
Dirección General de Enseñanza Superior
sponsorship
Ministerio de Educación y Ciencia
sponsorship
Fondo Europeo de Desarrollo Regional
2016-06-02T06:17:16Z
2016-06-02T06:17:16Z
2007
Bernal González, L., Bonilla Ramírez, A.L. y Calderón Moreno, M.d.C. (2007). Compositional hypercyclicity equals supercyclicity. Houston Journal of Mathematics, 33 (2), 581-591.
0362-1588
http://hdl.handle.net/11441/41788
https://idus.us.es/xmlui/handle/11441/41788
In this note it is proved that the sequence of composition operators
generated by automorphisms of a simply connected domain strictly
contained in the complex plane is hypercyclic –that is, possesses some dense orbit– if and only if it is supercyclic –i.e., possesses some dense projective orbit–. When the domain is the full complex plane, a result in this direction is also obtained. In addition, a number of statements about the corresponding cyclicity properties of single composition operators are either proved directly or extracted as a consequence
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Composition operator
hypercyclic sequence
supercyclic sequence
holomorphic selfmapping
Blaschke product
Compositional hypercyclicity equals supercyclicity
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/41788/1/Compositional%20hypercyclicity%20equals%20supercyclicity.pdf
File
MD5
029b284fa98ef196158580dcd94026f9
231497
application/pdf
Compositional hypercyclicity equals supercyclicity.pdf
oai:idus.us.es:11441/874942024-02-15T07:48:28Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
idUS - Universidad de Sevilla
affiliation
Universidad de Sevilla. Departamento de Análisis Matemático
group
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
2019-06-18T11:39:01Z
2019-06-18T11:39:01Z
2002-12
Bernal González, L., Calderón Moreno, M.d.C. y Grosse-Erdmann, K. (2002). Strongly omnipresent integral operators. Integral Equations and Operator Theory, 44 (4), 397-409.
0378-620X1420-8989
https://hdl.handle.net/11441/87494
0378-620X/02/040397-13
An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual set of functions f ∈ H(G) such that T f exhibits an extremely “wild” behaviour near the boundary. The concept of strong omnipresence was recently introduced by the first two
authors. In this paper it is proved that a large class of integral operators including Volterra operators with or without a perturbation by differential operators has this property, completing earlier work about differential and
antidifferential operators.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Integral operators
Strongly omnipresent integral operators
info:eu-repo/semantics/article
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URL
https://idus.us.es/bitstream/11441/87494/1/Strongly%20omnipresent%20integral%20operators.pdf
File
MD5
2bd32f21067af37650c655932a17aa5e
252128
application/pdf
Strongly omnipresent integral operators.pdf
mets///col_11441_10809/100