2024-03-28T11:25:41Zhttps://idus.us.es/oai/requestoai:idus.us.es:11441/451732024-02-13T08:46:54Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-21T07:01:49Z
urn:hdl:11441/45173
Breakdown of smoothness for the Muskat problem
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
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.
2016-09-21T07:01:49Z
2016-09-21T07:01:49Z
2013-06
info:eu-repo/semantics/article
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.
0003-9527
1432-0673
http://hdl.handle.net/11441/45173
10.1007/s00205-013-0616-x
https://idus.us.es/xmlui/handle/11441/45173
eng
Archive for Rational Mechanics and Analysis, 208 (3), 805-909.
MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138
DMS-0901040
DMS-0901810
http://doi.org/10.1007/s00205-013-0616-x
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/452722024-02-12T21:43:47Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-22T10:25:20Z
urn:hdl:11441/45272
Connections between some measures of non-compactness and associated operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
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.
2016-09-22T10:25:20Z
2016-09-22T10:25:20Z
1990
info:eu-repo/semantics/article
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
eng
Extracta mathematicae, 5 (2), 62-64.
https://dialnet.unirioja.es/descarga/articulo/118282.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Universidad de Extremadura
oai:idus.us.es:11441/1444102024-02-17T16:56:53Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2023-04-14T12:11:56Z
urn:hdl:11441/144410
Compactification, and beyond, of composition operators on Hardy spaces by weights
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Approximation numbers
composition operator
compactification
decompactification
Hilbert-Schmidt operator
p-summing operators
Schatten classes
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.
2023-04-14T12:11:56Z
2023-04-14T12:11:56Z
2021-06-08
info:eu-repo/semantics/article
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.
2737-0690
2737-114X
https://hdl.handle.net/11441/144410
10.5186/aasfm.2021.4602
eng
Annales Fennici Mathematici, 46 (1), 43-57.
http://doi.org/10.5186/aasfm.2021.4602
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
OJS/PKP
oai:idus.us.es:11441/451782024-02-13T20:23:28Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-21T07:41:49Z
urn:hdl:11441/45178
Singularity formations for a surface wave model
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
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.
2016-09-21T07:41:49Z
2016-09-21T07:41:49Z
2010-11
info:eu-repo/semantics/article
Castro Martínez, Á., Córdoba Gazolaz, D. y Gancedo García, F. (2010). Singularity formations for a surface wave model. Nonlinearity, 23 (11), 2835-2847.
0951-7715
1361-6544
http://hdl.handle.net/11441/45178
10.1088/0951-7715/23/11/006
https://idus.us.es/xmlui/handle/11441/45178
eng
Nonlinearity, 23 (11), 2835-2847.
MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138
0901810
http://doi.org/10.1088/0951-7715/23/11/006
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
IOP Publishing
oai:idus.us.es:11441/457222024-02-14T19:06:47Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-27T06:49:05Z
urn:hdl:11441/45722
Maximal cluster sets of L-analytic functions along arbitrary curves
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Maximal cluster set
L-analytic function
Ddense linear manifold
Admissible path
Elliptic operator
Internally controlled operator
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.
2016-09-27T06:49:05Z
2016-09-27T06:49:05Z
2007-03
info:eu-repo/semantics/article
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.
0176-4276
1432-0940
http://hdl.handle.net/11441/45722
10.1007/s00365-006-0636-5
https://idus.us.es/xmlui/handle/11441/45722
eng
Constructive Approximation, 25 (2), 211-219.
FQM-127
BFM2003-03893-C02-01
MTM2004-21420-E
BFM2002-02098
http://download.springer.com/static/pdf/816/art%253A10.1007%252Fs00365-006-0636-5.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00365-006-0636-5&token2=exp=1474959971~acl=%2Fstatic%2Fpdf%2F816%2Fart%25253A10.1007%25252Fs00365-006-0636-5.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00365-006-0636-5*~hmac=371979d9a60a033ffe5590f7d28dac22d3c07a572ac87f7eb919d98eef69a936
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/430002024-02-14T20:37:23Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-07-01T07:46:59Z
urn:hdl:11441/43000
On the exact location of the non-trivial zeros of Riemann’s zeta function
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Ministerio de Economía y Competitividad (MINECO). España
Zeta function
Non-trivial zeros
Distribution of zeros
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.
2016-07-01T07:46:59Z
2016-07-01T07:46:59Z
2014
info:eu-repo/semantics/article
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.
0065-1036
1730-6264
http://hdl.handle.net/11441/43000
10.4064/aa163-3-3
https://idus.us.es/xmlui/handle/11441/43000
eng
Acta Arithmetica, 163 (3), 215-245.
info:eu-repo/grantAgreement/MINECO/MTM2012-30748
http://dx.doi.org/10.4064/aa163-3-3
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Polish Academy of Sciences, Institute of Mathematics
oai:idus.us.es:11441/620242024-02-15T07:49:52Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2017-07-05T10:38:55Z
urn:hdl:11441/62024
Compact mappings and proper mappings between Banach spaces that share a value
Universidad de Sevilla. Departamento de Análisis Matemático
Dirección General de Enseñanza Superior. España
Junta de Andalucía
Zero point
Continuation methods
C1-homotopy
Subjective implicit function theorem
Proper mapping
Compact mapping
Fredholm mapping
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.
2017-07-05T10:38:55Z
2017-07-05T10:38:55Z
2000
info:eu-repo/semantics/article
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
eng
Mathematica Balkanica, 14 (1-2), 161-166.
PB 96-1338-CO2-01
http://www.math.bas.bg/infres/MathBalk/MB-14/MB-14-161-166.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Bulgarian Academy of Sciences
oai:idus.us.es:11441/484242019-04-03T05:49:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-10T10:59:34Z
urn:hdl:11441/48424
Invariant subspaces of parabolic self-maps in the Hardy space
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM260: Variable Compleja y Teoria de Operadores
Ministerio de Ciencia y Tecnología (MCYT). España
Junta de Andalucía
Lattices of invariant subspaces
Hardy spaces
Composition operators
Sobolev spaces
Banach algebras
Gelfand transform
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.
2016-11-10T10:59:34Z
2016-11-10T10:59:34Z
2010-01
info:eu-repo/semantics/article
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.
1073-2780
1945-001X
http://hdl.handle.net/11441/48424
10.4310/MRL.2010.v17.n1.a8
https://idus.us.es/xmlui/handle/11441/48424
eng
Mathematical Research Letters, 17 (1), 99-107.
BFM2003-00034
FQM-260
http://intlpress.com/site/pub/files/_fulltext/journals/mrl/2010/0017/0001/MRL-2010-0017-0001-a008.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
International Press
oai:idus.us.es:11441/875102024-02-13T19:57:38Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-19T07:57:59Z
urn:hdl:11441/87510
Large linear manifolds of non-continuable boundary-regular holomorphic functions
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Non-continuable holomorphic function
Large linear manifold
Boundary-regular function
Faber transform
Universal sequence
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.
2019-06-19T07:57:59Z
2019-06-19T07:57:59Z
2008-05-01
info:eu-repo/semantics/article
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
eng
Journal of Mathematical Analysis and Applications, 341 (1), 337-345.
MTM2006-13997-C02-01
MTM2004-21420-E
FQM-127
https://reader.elsevier.com/reader/sd/pii/S0022247X07012450?token=FF263E58478A02D4410CDB37A2D93089E3413CE79A7DF6AECB24EC809CF4D5080A9C9B0CCBCDDC8547306A3752B92F6F
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/452002024-02-13T20:06:48Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-21T11:13:09Z
urn:hdl:11441/45200
Interface evolution: water waves in 2-D
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Free boundary
Euler equations
Rayleigh-Taylor
Local existence
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.
2016-09-21T11:13:09Z
2016-09-21T11:13:09Z
2010-01-15
info:eu-repo/semantics/article
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.
0001-8708
1090-2082
http://hdl.handle.net/11441/45200
10.1016/j.aim.2009.07.016
https://idus.us.es/xmlui/handle/11441/45200
eng
Advances in Mathematics, 223 (1), 120-173.
MTM2005-04730
MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138
http://dx.doi.org/10.1016/j.aim.2009.07.016
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/620292024-02-14T11:39:18Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2017-07-05T10:44:10Z
urn:hdl:11441/62029
Interpolation by tamed entire functions
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Junta de Andalucía
Ministerio de Ciencia y Tecnología (MCYT). España
Entire function
Interpolation
Strictly extremal point
Boundedness
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.
2017-07-05T10:44:10Z
2017-07-05T10:44:10Z
2006
info:eu-repo/semantics/article
Bernal González, L. (2006). Interpolation by tamed entire functions. Mathematica Balkanica, 20 (2), 161-166.
0205-3217
http://hdl.handle.net/11441/62029
eng
Mathematica Balkanica, 20 (2), 161-166.
FQM-127
BFM2003-03893-C02-01
http://www.math.bas.bg/infres/MathBalk/MB-20/MB-20-161-166.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Bulgarian Academy of Sciences
oai:idus.us.es:11441/523462024-02-14T20:36:11Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2017-01-17T10:27:29Z
urn:hdl:11441/52346
Strongly compact algebras
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Análisis Matemático
Dirección General de Investigación Científica y Técnica (DGICYT). España
Topological algebra
Linear operator
Hilbert space
Invariant subspace problem
Strongly compact algebra
Spectral representation
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.
2017-01-17T10:27:29Z
2017-01-17T10:27:29Z
2006
info:eu-repo/semantics/article
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.
0034-0596
1137-2141
http://hdl.handle.net/11441/52346
eng
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A: Matematicas, 100 (1-2), 191-207.
PB96-1348
PB96-1327
http://www.rac.es/ficheros/doc/00224.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Real Academia de Ciencias Exactas, Fisicas y Naturales
oai:idus.us.es:11441/494992024-02-12T21:43:48Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-12-01T10:51:10Z
urn:hdl:11441/49499
Geodesic Ptolemy spaces and fixed points
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Dirección General de Enseñanza Superior. España
Junta de Andalucía
Ptolemy inequality
Geodesic space
Fixed point
Nonexpansive mapping
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.
2016-12-01T10:51:10Z
2016-12-01T10:51:10Z
2011-01-01
info:eu-repo/semantics/article
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
eng
Nonlinear Analysis: Theory, Methods and Applications, 74 (1), 27-34.
MTM2009-10696-C02-01
FQM-127
POS DRU 6/1.5/S/3
http://ac.els-cdn.com/S0362546X10005560/1-s2.0-S0362546X10005560-main.pdf?_tid=7b8e07ce-b7b2-11e6-87a9-00000aacb35d&acdnat=1480588968_ab5b562006db47b20824c2193fdf6054
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/465362024-02-13T19:58:45Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
2016-09-30T11:12:39Z
urn:hdl:11441/46536
Nevanlinna counting function and Carleson function of analytic maps
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matemático
Ministerio de Educación y Ciencia (MEC). España
Analytic self-map of the unit disk
Carleson function
Carleson measure
Composition operator
Nevanlinna counting function
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.
2016-09-30T11:12:39Z
2016-09-30T11:12:39Z
2011-10
info:eu-repo/semantics/article
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.
0025-5831
1432-1807
http://hdl.handle.net/11441/46536
10.1007/s00208-010-0596-1
https://idus.us.es/xmlui/handle/11441/46536
eng
Mathematische Annalen, 351 (2), 305-326.
MTM2006-05622
http://download.springer.com/static/pdf/925/art%253A10.1007%252Fs00208-010-0596-1.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00208-010-0596-1&token2=exp=1475234665~acl=%2Fstatic%2Fpdf%2F925%2Fart%25253A10.1007%25252Fs00208-010-0596-1.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00208-010-0596-1*~hmac=68131402c3021cec773264ec5429cb08c1be14a0ceecc59c3d6fb92da3100522
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/457252024-02-17T16:20:02Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-27T07:10:22Z
urn:hdl:11441/45725
Cyclicity of coefficient multipliers: Linear structure
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Ministerio de Ciencia y Tecnología (MCYT). España
Junta de Andalucía
Cyclicity
Supercyclicity
Hypercyclicity
Coefficient multiplier
Euler differential operator
Hadamard operator
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.
2016-09-27T07:10:22Z
2016-09-27T07:10:22Z
2007-03
info:eu-repo/semantics/article
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.
0236-5294
1588-2632
http://hdl.handle.net/11441/45725
10.1007/s10474-007-5125-7
https://idus.us.es/xmlui/handle/11441/45725
eng
Acta Mathematica Hungarica, 114 (4), 287-300.
BFM2003-03893-C02-01
MTM2004-21420-E
FQM-127
https://doi.org/10.1007/s10474-007-5125-7
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/484232019-04-03T05:49:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-10T10:49:12Z
urn:hdl:11441/48423
A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM260: Variable Compleja y Teoria de Operadores
Ministerio de Ciencia y Tecnología (MCYT). España
Junta de Andalucía
Bergman spaces
Paley-Wiener theorem
Fourier transform
Laguerre polynomials
Invariant subspaces
Bergman shift
Convolution operators
Volterra operators
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).
2016-11-10T10:49:12Z
2016-11-10T10:49:12Z
2007-06
info:eu-repo/semantics/article
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.
0024-6093
1469-2120
http://hdl.handle.net/11441/48423
10.1112/blms/bdm026
https://idus.us.es/xmlui/handle/11441/48423
eng
Bulletin of the London Mathematical Society, 39 (3), 459-466.
BFM2003-00034
FQM-260
PR2004-0584
http://blms.oxfordjournals.org/content/39/3/459.full.pdf+html
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
London Mathematical Society
oai:idus.us.es:11441/451902024-02-14T08:51:57Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-21T09:29:26Z
urn:hdl:11441/45190
Incompressible flow in porous media with fractional diffusion
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Ministerio de Educación y Ciencia (MEC). España
Flows in porous media
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.
2016-09-21T09:29:26Z
2016-09-21T09:29:26Z
2009-08
info:eu-repo/semantics/article
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.
0951-7715
1361-6544
http://hdl.handle.net/11441/45190
10.1088/0951-7715/22/8/002
https://idus.us.es/xmlui/handle/11441/45190
eng
Nonlinearity, 22 (8), 1791-1815.
MTM2005-05980
S-0505/ESP/0158
MTM2005-00714
http://iopscience.iop.org/article/10.1088/0951-7715/22/8/002/pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
IOP Publishing
oai:idus.us.es:11441/417132024-02-17T16:48:10Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-05-31T09:57:57Z
urn:hdl:11441/41713
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
Universidad de Sevilla. Departamento de Análisis Matemático
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.
2016-05-31T09:57:57Z
2016-05-31T09:57:57Z
2002-10
info:eu-repo/semantics/article
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.
1405-213X
2296-4495
http://hdl.handle.net/11441/41713
https://idus.us.es/xmlui/handle/11441/41713
eng
Boletín de la Sociedad Matemática Mexicana, 8 (2), 127-139.
BFM-2000-0206-C04-02
FQM-262
info:eu-repo/grantAgreement/EC/INTAS-2000-00272
IN112300
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Sociedad Matemática Mexicana / Springer
oai:idus.us.es:11441/428752024-02-14T20:08:34Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-29T07:44:32Z
urn:hdl:11441/42875
On the distribution (mod 1) of the normalized zeros of the Riemann Zeta-function
Universidad de Sevilla. Departamento de Análisis Matemático
Ministerio de Economía y Competitividad (MINECO). España
zeta function
zeros of zeta
equidistribution
GUE hypothesis
normalized zeros
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).
2016-06-29T07:44:32Z
2016-06-29T07:44:32Z
2015-08
info:eu-repo/semantics/article
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
eng
Journal of Number Theory, 153, 37-53.
info:eu-repo/grantAgreement/MINECO/MTM2012-30748
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/418482024-02-14T20:16:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-03T09:46:07Z
urn:hdl:11441/41848
A criterion of weak compactness for operators on subspaces of Orlicz spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Morse-Transue space
Orlicz space
weakly compact operators
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∞.
2016-06-03T09:46:07Z
2016-06-03T09:46:07Z
2008
info:eu-repo/semantics/article
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
eng
Journal of Function Spaces and Applications, 6 (3), 277-292.
http://dx.doi.org/10.1155/2008/107568
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Hindawi
oai:idus.us.es:11441/588072024-02-14T19:05:41Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2017-04-27T11:35:04Z
urn:hdl:11441/58807
Sobre la existencia y el cálculo de ceros de funciones regulares
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.
2017-04-27T11:35:04Z
2017-04-27T11:35:04Z
1988
info:eu-repo/semantics/article
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
spa
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, 82 (3-4), 523-531.
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Real Academia de Ciencias Exactas, Físicas y Naturales
oai:idus.us.es:11441/875372024-02-13T09:12:21Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-21T07:41:03Z
urn:hdl:11441/87537
Interpolation by hypercyclic functions for differential operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Hypercyclic function
Differential operator
Interpolation
Mixing sequence of mappings
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.
2019-06-21T07:41:03Z
2019-06-21T07:41:03Z
2009-04
info:eu-repo/semantics/article
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
eng
Journal of Approximation Theory, 157 (2), 134-143.
FQM-127
MTM2006-13997-C02-01
MTM2006-26627-E
https://reader.elsevier.com/reader/sd/pii/S0021904508001597?token=3CE0AB5856288824F4DE82C1608A9E25EB93F6B758FF7CD8643EB333A032C8F68A192AEB3C6B86F2F2A764F5BD43996F
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/417062024-02-13T20:23:50Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-05-31T09:22:47Z
urn:hdl:11441/41706
On the modification of classical orthogonal polynomials: the symmetric case
Universidad de Sevilla. Departamento de Análisis Matemático
Dirección General de Investigación Científica y Técnica (DGICYT). España
Hermite polynomials
Gegenbauer polynomials
discrete measures
zeros
symmetric functionals
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.
2016-05-31T09:22:47Z
2016-05-31T09:22:47Z
1998-03
info:eu-repo/semantics/article
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.
1000-9221
1573-8175
http://hdl.handle.net/11441/41706
https://idus.us.es/xmlui/handle/11441/41706
eng
Approximation Theory and its Applications, 14 (1), 8-28.
PB 93-0228-C02-01
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/1443662024-02-14T11:23:54Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2023-04-14T09:16:50Z
urn:hdl:11441/144366
Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
Universidad de Sevilla. Departamento de Análisis Matemático
Approximation numbers
Composition operator
Hilbert spaces of analytic functions
Schatten classes
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.
2023-04-14T09:16:50Z
2023-04-14T09:16:50Z
2021
info:eu-repo/semantics/article
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.
0022-1236
1096-0783
https://hdl.handle.net/11441/144366
10.1016/j.jfa.2020.108834
eng
Journal of Functional Analysis, 280, 1-47.
http://doi.org/10.1016/j.jfa.2020.108834
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
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
2016-07-21T08:02:25Z
urn:hdl:11441/43833
On the "Favard theorem" and its extensions
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM262: Teoria de la Aproximacion
European Union (UE)
Dirección General de Enseñanza Superior. España
Favard Theorem
Recurrence relations
In this paper we present a survey on the "Favard theorem" and its extensions.
2016-07-21T08:02:25Z
2016-07-21T08:02:25Z
2001-01-15
info:eu-repo/semantics/article
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
eng
Journal of Computational and Applied Mathematics, 127 (1-2), 231-254.
info:eu-repo/grantAgreement/EC/INTAS-93-0219
PB-96-0120-C03-01
http://dx.doi.org/10.1016/S0377-0427(00)00497-0
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
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
2014-11-27T12:22:46Z
urn:hdl:11441/16106
Measure of nonhyperconvexity and fixed-point theorems
2014-11-27T12:22:46Z
2014-11-27T12:22:46Z
2003
info:eu-repo/semantics/article
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
Abstract and Applied Analysis, 2, 111-119.
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
oai:idus.us.es:11441/386062024-02-14T08:55:21Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10833col_11441_10809col_11441_10834
2016-03-16T09:50:54Z
urn:hdl:11441/38606
New trends on nonlinear dynamics and its applications
Universidad de Sevilla. Departamento de Análisis Matemático
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/).
2016-03-16T09:50:54Z
2016-03-16T09:50:54Z
2015-12
info:eu-repo/semantics/article
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
eng
Discrete and continuous dynamical systems. Series S, 8(6), I-II
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
American Institute of Mathematical Sciences
oai:idus.us.es:11441/425912024-02-14T19:38:00Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-22T07:40:02Z
urn:hdl:11441/42591
A fixed point theorem for weakly Zamfirescu mappings
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Junta de Andalucía
Dirección General de Enseñanza Superior. España
fixed point
weakly Zamfirescu mappings
weakly contractive mappings
continuation method
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.
2016-06-22T07:40:02Z
2016-06-22T07:40:02Z
2011-03-01
info:eu-repo/semantics/article
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
eng
Nonlinear Analysis: Theory, Methods & Applications, 74 (5), 1628-1640.
FQM-3543
MTM2007-60854
FQM-210
FQM-1504
MTM2009-13997-C02-01
FQM-127
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/451962018-02-16T11:17:59Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-21T10:43:52Z
urn:hdl:11441/45196
On a singular incompressible porous media equation
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
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.
2016-09-21T10:43:52Z
2016-09-21T10:43:52Z
2012-11
info:eu-repo/semantics/article
Friedlander, S., Gancedo García, F., Sun, W. y Vicol, V. (2012). On a singular incompressible porous media equation. Journal of Mathematical Physics, 53 (115602)
0022-2488
1089-7658
http://hdl.handle.net/11441/45196
10.1063/1.4725532
https://idus.us.es/xmlui/handle/11441/45196
eng
Journal of Mathematical Physics, 53 (115602)
DMS-0803268
MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138
DMS-0901810
http://dx.doi.org/10.1063/1.4725532
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
AIP Publishing
oai:idus.us.es:11441/1276792024-02-13T19:59:08Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2021-11-25T11:07:17Z
urn:hdl:11441/127679
Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings
Universidad de Sevilla. Departamento de Análisis matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Fixed point
Multivalued nonexpansive mapping
Modular vector space
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.
2021-11-25T11:07:17Z
2021-11-25T11:07:17Z
2021-08-16
info:eu-repo/semantics/article
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.
1661-7746
1661-7738
https://hdl.handle.net/11441/127679
10.1007/s11784-021-00876-y
eng
Journal of Fixed Point Theory and Applications, 23 (3), 40-1-40-25.
https://doi.org/10.1007/s11784-021-00876-y
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
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
2024-01-22T12:05:09Z
urn:hdl:11441/153742
Sharp Pressure Estimates for the Navier–Stokes System in Thin Porous Media
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Navier–Stokes
Critical Reynolds number
Sharp estimates
Thin porous media
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.
2024-01-22T12:05:09Z
2024-01-22T12:05:09Z
2023-04-16
2024-05-04
info:eu-repo/semantics/article
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.
0126-6705
2180-4206
https://hdl.handle.net/11441/153742
10.1007/s40840-023-01514-1
eng
Bulletin of the Malaysian Mathematical Sciences Society, 46, 117-1.
https://doi.org/10.1007/s40840-023-01514-1
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/embargoAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
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
2016-11-14T07:23:50Z
urn:hdl:11441/48490
The fixed point property and unbounded sets in CAT(0) spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Dirección General de Enseñanza Superior. España
Junta de Andalucía
Nonexpansive mappings
Fixed points
Unbounded convex sets
CAT(0) spaces
Banach-Steinhaus theorem
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.
2016-11-14T07:23:50Z
2016-11-14T07:23:50Z
2013-12-15
info:eu-repo/semantics/article
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
eng
Journal of Mathematical Analysis and Applications, 408 (2), 638-654.
MTM2012-34847C02-01
FQM-127
http://ac.els-cdn.com/S0022247X13005969/1-s2.0-S0022247X13005969-main.pdf?_tid=cdf7cca0-aa3a-11e6-b777-00000aacb35f&acdnat=1479108202_00015a8e1b5c07fa48f1bc5535380eea
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/335742024-02-13T08:53:01Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-01-29T09:52:01Z
urn:hdl:11441/33574
Matemáticas: una ¿triste? historia de amor
Universidad de Sevilla. Departamento de Análisis Matemático
matemáticas
Amor
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.
2016-01-29T09:52:01Z
2016-01-29T09:52:01Z
2014-12-25
info:eu-repo/semantics/article
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
spa
null
http://principia.io/2014/12/25/matematicas-una-triste-historia-de-amor/
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
oai:idus.us.es:11441/451482018-02-16T10:17:47Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-20T11:40:31Z
urn:hdl:11441/45148
Porous media: the Muskat problem in 3D
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
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.
2016-09-20T11:40:31Z
2016-09-20T11:40:31Z
2013
info:eu-repo/semantics/article
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.
2157-5045
1948-206X
http://hdl.handle.net/11441/45148
10.2140/apde.2013.6.447
https://idus.us.es/xmlui/handle/11441/45148
eng
Analysis and PDE, 6 (2), 447-497.
MTM2008-038
MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138
0901810
http://msp.org/apde/2013/6-2/apde-v6-n2-p04-s.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Mathematical Sciences Publishers
oai:idus.us.es:11441/488182024-02-14T11:05:18Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-17T12:42:01Z
urn:hdl:11441/48818
Algunos espacios topológicos que admiten una medida-categoría
Universidad de Sevilla. Departamento de Análisis Matemático
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.
2016-11-17T12:42:01Z
2016-11-17T12:42:01Z
1984
info:eu-repo/semantics/article
Ayerbe Toledano, J.M. (1984). Algunos espacios topológicos que admiten una medida-categoría. Collectanea Mathematica, 35 (3), 221-232.
0010-0757
2038-4815
http://hdl.handle.net/11441/48818
https://idus.us.es/xmlui/handle/11441/48818
spa
Collectanea Mathematica, 35 (3), 221-232.
http://www.raco.cat/index.php/CollectaneaMathematica/article/view/57105/67045
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Universitat de Barcelona
oai:idus.us.es:11441/424082024-02-17T16:36:05Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-16T11:06:21Z
urn:hdl:11441/42408
A note on the invariant distribution of a quasi-birth-and-death process
Universidad de Sevilla. Departamento de Análisis Matemático
Dirección General de Enseñanza Superior. España
Junta de Andalucía
Quasi-birth-and-death processes
matrix-valued orthogonal polynomials
Markov chains
block tridiagonal transition probability matrix
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.
2016-06-16T11:06:21Z
2016-06-16T11:06:21Z
2011
info:eu-repo/semantics/article
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.
0305-4470
1361-6447
http://hdl.handle.net/11441/42408
https://idus.us.es/xmlui/handle/11441/42408
eng
Journal of Physics. A, Mathematical and General, 44, 1-9.
BFM2006-13000-C03-01
FQM-229
FQM-481
P06-FQM-01738
2008-0207
London
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Institute of Physics
oai:idus.us.es:11441/538012024-02-13T22:06:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2017-02-08T08:43:26Z
urn:hdl:11441/53801
The algebraic size of the family of injective operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Junta de Andalucía
Ministerio de Economía y Competitividad (MINECO). España
One-to-one operator
Point spectrum
Algebrability
Hypercyclic operator
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.
2017-02-08T08:43:26Z
2017-02-08T08:43:26Z
2017-01
info:eu-repo/semantics/article
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
eng
Open Mathematics, 15 (1), 13-20.
FQM-127
P08-FQM-03543
info:eu-repo/grantAgreement/MINECO/MTM2015-65242-C2-1-P
https://www.degruyter.com/downloadpdf/j/math.2017.15.issue-1/math-2017-0005/math-2017-0005.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
De Gruyter Open
oai:idus.us.es:11441/489552024-02-17T17:32:25Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-22T07:55:40Z
urn:hdl:11441/48955
Asymptotic centers and fixed points for multivalued nonexpansive mappings
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Dirección General de Enseñanza Superior. España
Junta de Andalucía
Multivalued nonexpansive mappings
Asymptotic centers
Fixed points
Normal structure
Nearly uniform convexity
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.
2016-11-22T07:55:40Z
2016-11-22T07:55:40Z
2004
info:eu-repo/semantics/article
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.
0365-1029
2083-7402
http://hdl.handle.net/11441/48955
https://idus.us.es/xmlui/handle/11441/48955
eng
Annales Universitatis Mariae Curie-Sklodowska. Sectio A, Mathematica, 58, 37-45.
PBMF2003-03893-C02-C01
FQM-127
http://dlibra.umcs.lublin.pl/Content/22081/czas4050_58_2004_4.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Maria Curie-Skłodowska University
oai:idus.us.es:11441/435352024-02-14T13:42:26Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-07-12T11:40:53Z
urn:hdl:11441/43535
Hardy-Littlewood inequalities for norms of positive operators on sequence spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Junta de Andalucía
Ministerio de Ciencia e Innovación (MICIN). España
Factorization
Positive operators
Sequence spaces
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.
2016-07-12T11:40:53Z
2016-07-12T11:40:53Z
2013-01-01
info:eu-repo/semantics/article
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
eng
Linear Algebra and its Applications, 438 (1), 153-156.
FQM-3737
MTM2009-08934
http://dx.doi.org/10.1016/j.laa.2012.07.044
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/424022024-02-13T09:05:27Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-16T10:52:30Z
urn:hdl:11441/42402
Some examples of matrix-valued orthogonal functions having a differential and an integral operator as eigenfunctions
Universidad de Sevilla. Departamento de Análisis Matemático
Dirección General de Enseñanza Superior. España
Junta de Andalucía
Matrix-valued Schrödinger operators
matrix-valued orthogonal polynomials
Fourier analysis
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.
2016-06-16T10:52:30Z
2016-06-16T10:52:30Z
2011-05
info:eu-repo/semantics/article
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.
0021-9045
1096-0430
http://hdl.handle.net/11441/42402
10.1016/j.jat.2011.02.004
https://idus.us.es/xmlui/handle/11441/42402
eng
Journal of Approximation Theory, 163 (5), 663-687.
MTM2009-12740-C03-02
FQM-229
FQM-481
P06-FQM-01738
2008-0207
http://dx.doi.org/10.1016/j.jat.2011.02.004
Amsterdam
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/481232024-02-13T08:46:02Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-10-26T06:32:57Z
urn:hdl:11441/48123
A note on an ergodic theorem in weakly uniformly convex geodesic spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Romanian National Authority for Scientific Research
Ministry of Education. Romania
Ergodic theorem
Geodesic space
Weak uniform convexity
Busemann convexity
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.
2016-10-26T06:32:57Z
2016-10-26T06:32:57Z
2015-11
info:eu-repo/semantics/article
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.
0003-889X
1420-8938
http://hdl.handle.net/11441/48123
10.1007/s00013-015-0825-7
https://idus.us.es/xmlui/handle/11441/48123
eng
Archiv der Mathematik, 105 (5), 467-477.
PN-II-IDPCE-2011-3-0383
PN-II-RU-PD-2012-3-0152
http://download.springer.com/static/pdf/153/art%253A10.1007%252Fs00013-015-0825-7.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00013-015-0825-7&token2=exp=1477464598~acl=%2Fstatic%2Fpdf%2F153%2Fart%25253A10.1007%25252Fs00013-015-0825-7.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00013-015-0825-7*~hmac=0b174c460c4f6f2a4e35233218ec8c2751d5a6bbae5177369af55f045ef3af19
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/487672016-11-29T12:22:39Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-17T07:34:32Z
urn:hdl:11441/48767
Funciones con derivadas sucesivas grandes y pequeñas por doquier
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
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.
2016-11-17T07:34:32Z
2016-11-17T07:34:32Z
1987
info:eu-repo/semantics/article
Bernal González, L. (1987). Funciones con derivadas sucesivas grandes y pequeñas por doquier. Collectanea Mathematica, 38 (2), 117-122.
0010-0757
2038-4815
http://hdl.handle.net/11441/48767
https://idus.us.es/xmlui/handle/11441/48767
spa
Collectanea Mathematica, 38 (2), 117-122.
http://www.raco.cat/index.php/CollectaneaMathematica/article/view/56946/66822
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Universitat de Barcelona
oai:idus.us.es:11441/1276812024-02-13T09:11:56Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
2021-11-25T11:08:28Z
urn:hdl:11441/127681
Extended eigenvalues of composition operators
Universidad de Sevilla. Departamento de Análisis matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Extended eigenvalue
Composition operator
Hardy space
Linear fractional transformation
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.
2021-11-25T11:08:28Z
2021-11-25T11:08:28Z
2021-12-15
info:eu-repo/semantics/article
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
eng
Journal of Mathematical Analysis and Applications, 504 (2), 125427-1-125427-13.
http://dx.doi.org/10.1016/j.cor.2021.105417
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/417892024-02-17T17:27:54Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-02T06:35:15Z
urn:hdl:11441/41789
Universal matrix transforms of holomorphic functions
Universidad de Sevilla. Departamento de Análisis Matemático
Junta de Andalucía
Dirección General de Enseñanza Superior. España
Holomorphic function
unit disk
overconvergence
infinite matrix
A-transforms
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.
2016-06-02T06:35:15Z
2016-06-02T06:35:15Z
2006
info:eu-repo/semantics/article
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
eng
Houston Journal of Mathematics, 32 (1), 315-324.
FQM-127
BFM2003-03893-C02-01
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
University of Houston
oai:idus.us.es:11441/471952024-02-14T19:15:51Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-10-07T11:05:11Z
urn:hdl:11441/47195
Applications of convex analysis within mathematics
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Australian Research Council
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
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.
2016-10-07T11:05:11Z
2016-10-07T11:05:11Z
2014-12
info:eu-repo/semantics/article
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.
0025-5610
1436-4646
http://hdl.handle.net/11441/47195
10.1007/s10107-013-0707-3
https://idus.us.es/xmlui/handle/11441/47195
eng
Mathematical Programming, 148 (1), 49-88.
http://download.springer.com/static/pdf/312/art%253A10.1007%252Fs10107-013-0707-3.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs10107-013-0707-3&token2=exp=1475839336~acl=%2Fstatic%2Fpdf%2F312%2Fart%25253A10.1007%25252Fs10107-013-0707-3.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs10107-013-0707-3*~hmac=bf170fadafb51a4e14bf5e842ed761f58d8d4566a4ed8d48025bfdb8debeb15e
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
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
2017-09-07T11:20:08Z
urn:hdl:11441/64256
A proof-theoretic bound extraction theorem for CAT(κ)-spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Deutsche Forschungsgemeinschaft / German Research Foundation (DFG)
Dirección General de Enseñanza Superior. España
Proof mining
Effective bounds
CAT(κ)-spaces
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.
2017-09-07T11:20:08Z
2017-09-07T11:20:08Z
2017-06
info:eu-repo/semantics/article
Kohlenbach, U.W. y Nicolae, A. (2017). A proof-theoretic bound extraction theorem for CAT(κ)-spaces. Studia Logica, 105 (3), 611-624.
0039-3215
1572-8730
http://hdl.handle.net/11441/64256
10.1007/s11225-016-9702-z
eng
Studia Logica, 105 (3), 611-624.
KO 1737/5-2
MTM2015-65242-C2-1-P
https://link.springer.com/content/pdf/10.1007%2Fs11225-016-9702-z.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/438362024-02-14T20:04:43Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-07-21T08:59:48Z
urn:hdl:11441/43836
Special volume on orthogonal polynomials and mathematical physics
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM262: Teoria de la Aproximacion
Universidad Carlos III de Madrid
2016-07-21T08:59:48Z
2016-07-21T08:59:48Z
2006
info:eu-repo/semantics/article
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
Electronic Transactions on Numerical Analysis, 24, VI-VI.
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Kent State University
oai:idus.us.es:11441/451682024-02-17T17:53:53Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-21T06:39:36Z
urn:hdl:11441/45168
The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Ministerio de Educación y Ciencia (MEC). España
European Research Council (ERC)
Euler
Hele-Shaw-Muskat
Incompressible
Well-possedness
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.
2016-09-21T06:39:36Z
2016-09-21T06:39:36Z
2009-07-07
info:eu-repo/semantics/article
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.
0027-8424
1091-6490
http://hdl.handle.net/11441/45168
10.1073/pnas.0809874106
https://idus.us.es/xmlui/handle/11441/45168
eng
Proceedings of the National Academy of Sciences, 106 (27), 10955-10959.
MTM2005-04730
MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138
http://www.pnas.org/content/106/27/10955.full.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
National Academy of Sciences
oai:idus.us.es:11441/875172024-02-13T09:02:42Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-19T08:56:53Z
urn:hdl:11441/87517
Hypercyclic subspaces in Fréchet spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Hypercyclic operator
Hypercyclic sequence
Hypercyclic subspace
Backward shift
Fréchet space
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.
2019-06-19T08:56:53Z
2019-06-19T08:56:53Z
2006-07
info:eu-repo/semantics/article
Bernal González, L. (2006). Hypercyclic subspaces in Fréchet spaces. Proceedings of the American Mathematical Society, 134 (7), 1955-1961.
0002-9939
1088-6826
https://hdl.handle.net/11441/87517
10.1090/S0002-9939-05-08242-0
eng
Proceedings of the American Mathematical Society, 134 (7), 1955-1961.
FQM-127
BFM2003-03893-C02-01
http://www.ams.org/journals/proc/2006-134-07/S0002-9939-05-08242-0/S0002-9939-05-08242-0.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
American Mathematical Society
oai:idus.us.es:11441/417252018-03-01T12:17:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-05-31T11:03:01Z
urn:hdl:11441/41725
Asymptotic properties of generalized Laguerre orthogonal polynomials
Universidad de Sevilla. Departamento de Análisis Matemático
Asymptotics
Laguerre polynomials
generalized Laguerre polynomials
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.
2016-05-31T11:03:01Z
2016-05-31T11:03:01Z
2004-06
info:eu-repo/semantics/article
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
eng
Indagationes Mathematicae, 15 (2), 151-165.
FQM 0262
BFM 2000-0206-C04-02
info:eu-repo/grantAgreement/EC/INTAS-2000-00272
FQM 0229
BFM 2001-3878-C02-02
http://dx.doi.org/10.1016/S0019-3577(04)90012-2
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/161102024-02-13T22:27:59Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2014-11-27T12:22:47Z
urn:hdl:11441/16110
On the orthogonality of q-classical polynomials of the Hahn class
q-polynomials
q-Hahn class
orthogonal polynomials on q-linear lattices
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.
2014-11-27T12:22:47Z
2014-11-27T12:22:47Z
2012
info:eu-repo/semantics/article
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
eng
Symmetry, Integrability and Geometry : Methods and Applications, 8, 1-30.
http://dx.doi.org/10.3842/SIGMA.2012.042
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
oai:idus.us.es:11441/1063422024-02-13T08:50:10Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2021-03-19T09:43:58Z
urn:hdl:11441/106342
Uniform integrability and convergence in the pth-mean of randomly weighted sums
Universidad de Sevilla. Departamento de Análisis matemático
FQM127: Análisis Funcional no Lineal
2021-03-19T09:43:58Z
2021-03-19T09:43:58Z
1989-01-01
info:eu-repo/semantics/article
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
Extracta mathematicae, 4 (2), 84-86.
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Universidad de Extremadura
oai:idus.us.es:11441/452902024-02-14T08:45:45Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-22T11:40:16Z
urn:hdl:11441/45290
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Dirección General de Enseñanza Superior. España
Junta de Andalucía
Fixed point
Multivalued nonexpansive mapping
Inwardness condition
Characteristic of noncompact convexity of a Banach space
Opial condition
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.
2016-09-22T11:40:16Z
2016-09-22T11:40:16Z
2004-03-01
info:eu-repo/semantics/article
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
eng
Journal of Mathematical Analysis and Applications, 291 (1), 100-108.
BFM-2000 0344-C02-C01
FQM-127
http://ac.els-cdn.com/S0022247X0300800X/1-s2.0-S0022247X0300800X-main.pdf?_tid=f5a288d6-80b8-11e6-80f8-00000aab0f27&acdnat=1474544436_95239dc27d775f3cf82222d10127d9f3
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/423342024-02-12T21:53:13Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-15T10:47:04Z
urn:hdl:11441/42334
Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer
Universidad de Sevilla. Departamento de Análisis Matemático
Gobierno Vasco
Ministerio de Economía y Competitividad (MINECO). España
Weights
maximal functions
singular integral operators
mixed weak-type inequalities
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.
2016-06-15T10:47:04Z
2016-06-15T10:47:04Z
2016
info:eu-repo/semantics/article
Ombrosi, S.J. y Pérez Moreno, C. (2008). Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer. Colloquium Mathematicum
0010-1354
1730-6302
http://hdl.handle.net/11441/42334
10.4064/cm4939-6-2016
https://idus.us.es/xmlui/handle/11441/42334
eng
Colloquium Mathematicum
info:eu-repo/grantAgreement/MINECO/MTM2014-53850-P
http://dx.doi.org/10.4064/cm4939-6-2016
Wrocław
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Uniwersytetu i Politechniki
oai:idus.us.es:11441/1537362024-02-14T19:36:57Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
2024-01-22T11:54:12Z
urn:hdl:11441/153736
Undominated Sequences of Integrable Functions
Universidad de Sevilla. Departamento de Análisis Matemático
Integrable function
continuous function
undominated sequence
lineability
residual set
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.
2024-01-22T11:54:12Z
2024-01-22T11:54:12Z
2020-10-20
info:eu-repo/semantics/article
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.
1660-5454
1660-5446
https://hdl.handle.net/11441/153736
10.1007/s00009-020-01631-2
eng
Mediterranean Journal of Mathematics, 17 (179), 178-1.
https://link.springer.com/article/10.1007/s00009-020-01631-2
info:eu-repo/semantics/openAccess
Springer Nature
oai:idus.us.es:11441/423982024-02-13T22:04:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-16T10:36:32Z
urn:hdl:11441/42398
Principal dynamical components
Universidad de Sevilla. Departamento de Análisis Matemático
Principal component analysis
Time series
Empirical orthogonal functions
Autocorrelation
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.
2016-06-16T10:36:32Z
2016-06-16T10:36:32Z
2013
info:eu-repo/semantics/article
Domínguez de la Iglesia, M. y Tabak, E.G. (2013). Principal dynamical components. Communications on Pure and Applied Mathematics, 66 (1), 48-82.
0010-3640
1097-0312
http://hdl.handle.net/11441/42398
10.1002/cpa.21411
https://idus.us.es/xmlui/handle/11441/42398
eng
Communications on Pure and Applied Mathematics, 66 (1), 48-82.
BFM2006-13000-C03-01
FQM-229
FQM-481
P06-FQM-01738
2008-0207
DMS 0908077
http://dx.doi.org/10.1002/cpa.21411
Hoboken (New Jersey)
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Wiley
oai:idus.us.es:11441/472402024-02-13T22:19:17Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-10-10T06:14:10Z
urn:hdl:11441/47240
Reverse Hölder property for strong weights and general measures
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM-354 Análisis Real
Reverse Hölder inequality
Muckenhoupt weights
Maximal functions
Multiparameter harmonic analysis
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.
2016-10-10T06:14:10Z
2016-10-10T06:14:10Z
2016-02-22
info:eu-repo/semantics/article
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.
1050-6926
1559-002X
http://hdl.handle.net/11441/47240
10.1007/s12220-016-9678-y
https://idus.us.es/xmlui/handle/11441/47240
eng
Journal of Geometric Analysis, 1-21.
info:eu-repo/grantAgreement/MINECO/MTM2014-53850-P
UBACyT 20020130100403BA
PIP 11220110101018
http://download.springer.com/static/pdf/64/art%253A10.1007%252Fs12220-016-9678-y.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs12220-016-9678-y&token2=exp=1476080723~acl=%2Fstatic%2Fpdf%2F64%2Fart%25253A10.1007%25252Fs12220-016-9678-y.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs12220-016-9678-y*~hmac=6bbec5b676ce039dc47c762afafbeaa86b2ee0d7622911a58451d54aed988394
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/492882024-02-14T13:29:03Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-29T10:44:24Z
urn:hdl:11441/49288
Q-classical orthogonal polynomials: a very classical approach
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM262: Teoría de la Aproximación
Dirección General de Enseñanza Superior. España
Orthogonal q-polynomials
Classical polynomials
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.
2016-11-29T10:44:24Z
2016-11-29T10:44:24Z
1999
info:eu-repo/semantics/article
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
eng
Electronic Transactions on Numerical Analysis, 9, 112-127.
PB-96-0120-C03-01
http://etna.mcs.kent.edu/vol.9.1999/pp112-127.dir/pp112-127.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Kent State University
oai:idus.us.es:11441/874922024-02-13T09:19:31Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-18T11:34:00Z
urn:hdl:11441/87492
Hypercyclic algebras for D-multiples of convolution operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Hypercyclic operator
Convolution operator
Derivative operator
Convexity
Algebrability
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.
2019-06-18T11:34:00Z
2019-06-18T11:34:00Z
2019-02
info:eu-repo/semantics/article
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.
0002-9939
1088-6826
https://hdl.handle.net/11441/87492
10.1090/proc/14146
eng
Proceedings of the American Mathematical Society, 147 (2), 647-653.
FQM-127
P08-FQM-03543
MTM2015-65242-C2-1-P
https://www.ams.org/journals/proc/2019-147-02/S0002-9939-2018-14146-5/S0002-9939-2018-14146-5.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
American Mathematical Society
oai:idus.us.es:11441/875262024-02-13T20:07:25Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-19T10:20:53Z
urn:hdl:11441/87526
Dense linear manifolds of monsters
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Holomorphic monster
T-monster
Strongly omnipresent operator
Totally omnipresent operator
Dense linear manifold
Hypercyclic sequence
Composition operator
Infinite order linear differential operator
Integral operator
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.
2019-06-19T10:20:53Z
2019-06-19T10:20:53Z
2002-12
info:eu-repo/semantics/article
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
eng
Journal of Approximation Theory, 119 (2), 156-180.
PB96-1348
https://reader.elsevier.com/reader/sd/pii/S0021904502937123?token=BC58D49356D317AFFF272EBBEE1A440B333399124B270C72B2A5EDCBFA588A6D1DE758FAC789884C06C4837954AA345D
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/803472024-02-14T20:23:51Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2018-11-19T12:15:17Z
urn:hdl:11441/80347
John's ellipsoid and the integral ratio of a log-concave function
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Análisis Matemático
Log-concave function
John’s position
Volume ratio
Reverse affine isoperimetric inequality
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.
2018-11-19T12:15:17Z
2018-11-19T12:15:17Z
2018-04
info:eu-repo/semantics/article
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.
1050-6926
1559-002x
https://hdl.handle.net/11441/80347
10.1007/s12220-017-9858-4
eng
Journal of Geometric Analysis, 28 (2), 1182-1201.
MTM2013-42105-P
P11B2014-35
MTM2012-34037
MTM2012-30748
https://link.springer.com/content/pdf/10.1007%2Fs12220-017-9858-4.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/385752024-02-13T22:18:24Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10833col_11441_10809col_11441_10834
2016-03-16T08:06:47Z
urn:hdl:11441/38575
Practical stability of stochastic delay evolution equations
Universidad de Sevilla. Departamento de Análisis Matemático
Stochastic delay evolution equations
almost sure practical asymptotic stability
decay function
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.
2016-03-16T08:06:47Z
2016-03-16T08:06:47Z
2015-04-23
info:eu-repo/semantics/article
Caraballo Garrido, T., Hammami, M.A. y Mchiri, L. (2015). Practical stability of stochastic delay evolution equations.
0167-8019
1572-9036
http://hdl.handle.net/11441/38575
http://dx.doi.org/10.1007/s10440-015-0016-3
https://idus.us.es/xmlui/handle/11441/38575
eng
null
info:eu-repo/grantAgreement/MINECO/MTM2011-22411
P12-FQM-1492
FQM314
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/423842024-02-14T19:33:24Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-16T09:22:36Z
urn:hdl:11441/42384
The Hardy-Littlewood maximal type operators between Banach function spaces
Universidad de Sevilla. Departamento de Análisis Matemático
maximal operators
rearrangement estimate
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.
2016-06-16T09:22:36Z
2016-06-16T09:22:36Z
2012
info:eu-repo/semantics/article
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.
0022-2518
1943-5258
http://hdl.handle.net/11441/42384
10.1512/iumj.2012.61.4708
https://idus.us.es/xmlui/handle/11441/42384
eng
Indiana University Mathematics Journal, 61 (3), 883-900.
2011/01/B/ST1/06243
MTM2009-08934
FQM-4745
http://dx.doi.org/10.1512/iumj.2012.61.4708
Bloomington
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Indiana University
oai:idus.us.es:11441/874892024-02-13T08:51:32Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-18T11:06:15Z
urn:hdl:11441/87489
Linear structure of the weighted holomorphic non-extendibility
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Holomorphic non-extendibility
Infinite-dimensional closed linear manifold
Maximal algebraic dimension
Spaceable set
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.
2019-06-18T11:06:15Z
2019-06-18T11:06:15Z
2006-06
info:eu-repo/semantics/article
Bernal González, L. (2006). Linear structure of the weighted holomorphic non-extendibility. Bulletin of the Australian Mathematical Society, 73 (3), 335-344.
0004-9727
1755-1633
https://hdl.handle.net/11441/87489
10.1017/S0004972700035371
eng
Bulletin of the Australian Mathematical Society, 73 (3), 335-344.
FQM-127
BFM2003-03893-C02-01
MTM2004-21420-E
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/FFF372C494339714D82168437A35B207/S0004972700035371a.pdf/linear_structure_of_weighted_holomorphic_nonextendibility.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Cambridge University Press
oai:idus.us.es:11441/487662024-02-17T17:19:35Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-17T07:25:10Z
urn:hdl:11441/48766
Exponente de convergencia generalizado de una sucesión compleja
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
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.
2016-11-17T07:25:10Z
2016-11-17T07:25:10Z
1987
info:eu-repo/semantics/article
Bernal González, L. (1987). Exponente de convergencia generalizado de una sucesión compleja. Collectanea Mathematica, 38 (1), 57-64.
0010-0757
2038-4815
http://hdl.handle.net/11441/48766
https://idus.us.es/xmlui/handle/11441/48766
spa
Collectanea Mathematica, 38 (1), 57-64.
http://www.raco.cat/index.php/CollectaneaMathematica/article/view/56941/66817
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Universitat de Barcelona
oai:idus.us.es:11441/430172024-02-14T19:35:46Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-07-01T10:32:02Z
urn:hdl:11441/43017
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM-354: Análisis Real
multilinear singular integral
Calderón-Zygmund theory
weak-type estimates
end-point estimates
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.
2016-07-01T10:32:02Z
2016-07-01T10:32:02Z
2014-01-09
info:eu-repo/semantics/article
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
eng
Proceedings of the American Mathematical Society, Series B, 1, 1-13.
MTM2009-08934
FQM-4745
DMS 1069015
http://dx.doi.org/10.1090/S2330-1511-2014-00009-2
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
American Mathematical Society
oai:idus.us.es:11441/471912024-02-13T20:21:53Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-10-07T10:52:48Z
urn:hdl:11441/47191
Iterative methods for approximating fixed points of Bregman nonexpansive operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Banach space
Bregman distance
Bregman firmly nonexpansive operator
Bregman strongly nonexpansive operator
Bregman projection
Fixed point
Iterative algorithm
Legendre function
Totally convex function
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.
2016-10-07T10:52:48Z
2016-10-07T10:52:48Z
2013-08
info:eu-repo/semantics/article
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.
1937-1632
1937-1179
http://hdl.handle.net/11441/47191
10.3934/dcdss.2013.6.1043
https://idus.us.es/xmlui/handle/11441/47191
eng
Discrete and Continuous Dynamical Systems - Series S, 6 (4), 1043-1063.
MTM2009-13997-C02-01
FQM-127
647/07
https://www.aimsciences.org/journals/pdfs.jsp?paperID=8100&mode=full
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
American Institute of Mathematical Sciences
oai:idus.us.es:11441/490952024-02-13T09:01:35Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-24T12:08:15Z
urn:hdl:11441/49095
Some recent results on the Muskat problem
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Análisis Matemático
Multiple fluids
Porous media
Hele-Shaw problems
Journées équations aux dérivées partielles. Port d'Albret, 7.11 juin 2010
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.
2016-11-24T12:08:15Z
2016-11-24T12:08:15Z
2010
info:eu-repo/semantics/article
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.
0752-0360
2118-9366
http://hdl.handle.net/11441/49095
10.5802/jedp.62
https://idus.us.es/xmlui/handle/11441/49095
eng
Journées Équations aux dérivées partielles, 299 (2), 1-14.
MTM2008-03754
info:eu-repo/grantAgreement/EC/FP7/203138
DMS-0901810
http://dx.doi.org/10.5802/jedp.62
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Cellule MathDoc
oai:idus.us.es:11441/465382024-02-13T09:46:36Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10978col_11441_10809col_11441_10979
2016-09-30T11:20:21Z
urn:hdl:11441/46538
Thin sets of integers in Harmonic analysis and p-stable random Fourier series
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matemático
Ministerio de Educación y Ciencia (MEC). España
Fourier series
Quasi-independent set
Rider set
Stable random variables
Stationary set
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.
2016-09-30T11:20:21Z
2016-09-30T11:20:21Z
2011-06
info:eu-repo/semantics/article
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.
0021-7670
1565-8538
http://hdl.handle.net/11441/46538
10.1007/s11854-011-0027-6
https://idus.us.es/xmlui/handle/11441/46538
eng
Journal d'Analyse Mathématique, 115 (1), 187-211.
MTM2006-05622
http://download.springer.com/static/pdf/324/art%253A10.1007%252Fs11854-011-0027-6.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs11854-011-0027-6&token2=exp=1475235234~acl=%2Fstatic%2Fpdf%2F324%2Fart%25253A10.1007%25252Fs11854-011-0027-6.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs11854-011-0027-6*~hmac=6481f4290ff0cb68c1585d502526f386bdd9eb2b5aee0030498edfa948261ada
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/235202024-02-14T19:41:31Zcom_11441_10808com_11441_10802com_11441_10690com_11441_10848col_11441_10809col_11441_10849
2015-03-20T13:07:11Z
urn:hdl:11441/23520
Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets
Universidad de Sevilla. Departamento de Física Aplicada I
Universidad de Sevilla. Departamento de Análisis Matemático
Ministerio de Economía y Competitividad (MINECO). España
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.
2015-03-20T13:07:11Z
2015-03-20T13:07:11Z
2013
info:eu-repo/semantics/article
2160-3308
2160-3308
http://hdl.handle.net/11441/23520
10.1103/PhysRevX.3.041014
https://idus.us.es/xmlui/handle/11441/23520
eng
Physical Review X, 2013, 3(4), 041014: 1-10
info:eu-repo/grantAgreement/MINECO/MTM2012-36732-C03-03
info:eu-repo/grantAgreement/MINECO/FIS2011-24540
http://journals.aps.org/prx/abstract/10.1103/PhysRevX.3.041014
http://dx.doi.org/10.1103/PhysRevX.3.041014
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
oai:idus.us.es:11441/423862024-02-17T17:27:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-16T09:37:19Z
urn:hdl:11441/42386
Quantitative weighted mixed weak-type inequalities for classical operators
Universidad de Sevilla. Departamento de Análisis Matemático
Maximal operators
Calderón-Zygmund operators
weighted estimates
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.
2016-06-16T09:37:19Z
2016-06-16T09:37:19Z
2016
info:eu-repo/semantics/article
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.
0022-2518
1943-5258
http://hdl.handle.net/11441/42386
http://dx.doi.org/10.1512/iumj.2016.65.5773
https://idus.us.es/xmlui/handle/11441/42386
eng
Indiana University Mathematics Journal, 65 (2), 615-640.
info:eu-repo/grantAgreement/MINECO/MTM-2014-53850-P
Bloomington
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Indiana University
oai:idus.us.es:11441/490682024-02-14T09:03:57Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-24T09:13:04Z
urn:hdl:11441/49068
Compact bilinear commutators: the weighted case
Universidad de Sevilla. Departamento de Análisis Matemático
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.
2016-11-24T09:13:04Z
2016-11-24T09:13:04Z
2015-03
info:eu-repo/semantics/article
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.
0026-2285
1945-2365
http://hdl.handle.net/11441/49068
10.1307/mmj/1427203284
https://idus.us.es/xmlui/handle/11441/49068
eng
Michigan Mathematical Journal, 64 (1), 39-51.
246024
P09-FQM-47459
DMS 1201504
DMS 1069015
https://projecteuclid.org/download/pdf_1/euclid.mmj/1427203284
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
University of Michigan
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
2016-06-16T09:59:11Z
urn:hdl:11441/42390
A pointwise estimate for the kernel of a pseudo-differential operator, with applications
Universidad de Sevilla. Departamento de Análisis Matemático
2016-06-16T09:59:11Z
2016-06-16T09:59:11Z
1991
info:eu-repo/semantics/article
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.
0041-6932
1669-9637
http://hdl.handle.net/11441/42390
https://idus.us.es/xmlui/handle/11441/42390
eng
Revista de Ia Unión Matemática Argentina, 37, 184-199.
Buenos Aires
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Unión Matemática Argentina
oai:idus.us.es:11441/429992024-02-13T09:57:09Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-07-01T07:36:35Z
urn:hdl:11441/42999
The L(log L)e endpoint estimate for maximal singular integral operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM-354: Análisis Real
European Union (UE)
Ministerio de Ciencia e Innovación (MICIN). España
maximal operators
Calderón–Zygmund operators
weighted estimates
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.
2016-07-01T07:36:35Z
2016-07-01T07:36:35Z
2015-08-01
info:eu-repo/semantics/article
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
eng
Journal of Mathematical Analysis and Applications, 428 (1), 605-626.
MTM2012-30748
info:eu-repo/grantAgreement/EC/FP7/278558
http://dx.doi.org/10.1016/j.jmaa.2015.03.017
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/453152024-02-17T16:56:36Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-09-23T06:20:41Z
urn:hdl:11441/45315
Analytical behavior of two-dimensional incompressible flow in porous media
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Ministerio de Educación y Ciencia (MEC). España
Comunidad Autónoma de Madrid
Flows in porous media
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.
2016-09-23T06:20:41Z
2016-09-23T06:20:41Z
2007-06
info:eu-repo/semantics/article
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)
0022-2488
1089-7658
http://hdl.handle.net/11441/45315
10.1063/1.2404593
https://idus.us.es/xmlui/handle/11441/45315
eng
Journal of Mathematical Physics, 48 (6)
MTM2005-05980
S-0505/ESP/0158
MTM2005-00714
http://dx.doi.org/10.1063/1.2404593
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
AIP Publishing (American Institute of Physics)
oai:idus.us.es:11441/493142024-02-14T13:28:00Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-29T11:28:29Z
urn:hdl:11441/49314
The endpoint Fefferman-Stein inequality for the strong maximal function
Universidad de Sevilla. Departamento de Análisis Matemático
Ministerio de Economía y Competitividad (MINECO). España
Academy of Finland
Strong maximal function
Strong Muckenhoupt weights
Fefferman-Stein inequality
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.
2016-11-29T11:28:29Z
2016-11-29T11:28:29Z
2014-01-01
info:eu-repo/semantics/article
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
eng
Journal of Functional Analysis, 266 (1), 199-212.
info:eu-repo/grantAgreement/MINECO/BES-2010-030264
138738
http://ac.els-cdn.com/S002212361300390X/1-s2.0-S002212361300390X-main.pdf?_tid=e96714b8-b625-11e6-b314-00000aab0f6b&acdnat=1480418642_4707888d5e5899fe1f88d907ee883a1c
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/1537582024-02-14T08:46:03Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2024-01-22T13:02:05Z
urn:hdl:11441/153758
Homogenization of Bingham flow in thin porous media
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Porous medium
thin domain
Bingham fluid
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.
2024-01-22T13:02:05Z
2024-01-22T13:02:05Z
2019-12-01
info:eu-repo/semantics/article
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.
1556-1801
1556-181X
https://hdl.handle.net/11441/153758
10.3934/nhm.2020004
eng
Networks and Heterogeneous Media, 15 (1), 87-110.
https://dx.doi.org/10.3934/nhm.2020004
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
AIMS
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
2016-11-29T10:58:54Z
urn:hdl:11441/49302
Effective results on nonlinear ergodic averages in CAT(κ) spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Romanian National Authority for Scientific Research
Ministry of Education. Romania
Proof mining
Nonlinear ergodic averages
CAT(κ) spaces
Rates of metastabilty
Halpern iteration
Asymptotic regularity
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.
2016-11-29T10:58:54Z
2016-11-29T10:58:54Z
2016-12
info:eu-repo/semantics/article
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.
0143-3857
1469-4417
http://hdl.handle.net/11441/49302
10.1017/etds.2015.31
https://idus.us.es/xmlui/handle/11441/49302
eng
Ergodic Theory and Dynamical Systems, 36 (8), 2580-2601.
PN-II-IDPCE-2011-3-0383
PN-II-RU-PD-2012-3-0152
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1270A759E4D77390811CD99783279D0B/S0143385715000310a.pdf/effective-results-on-nonlinear-ergodic-averages-in-cat-unicode-stix-x1d705-spaces.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Cambridge University Press
oai:idus.us.es:11441/438422019-04-03T05:48:45Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-07-21T09:52:32Z
urn:hdl:11441/43842
A continuation method for weakly Kannan maps
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Ministerio de Educación y Ciencia (MEC). España
Junta de Andalucía
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.
2016-07-21T09:52:32Z
2016-07-21T09:52:32Z
2010
info:eu-repo/semantics/article
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.
1687-1820
1687-1812
http://hdl.handle.net/11441/43842
10.1155/2010/321594
https://idus.us.es/xmlui/handle/11441/43842
eng
Fixed Point Theory and Applications, 2010, 321594-1-321594-12.
MTM2007-60854
FQM210
FQM1504
http://dx.doi.org/10.1155/2010/321594
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
SpringerOpen
oai:idus.us.es:11441/285572024-02-13T08:52:26Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2015-09-18T08:42:54Z
urn:hdl:11441/28557
Definición y estudio de una función indefinidamente diferenciable de soporte compacto
Universidad de Sevilla. Departamento de Análisis Matemático
2015-09-18T08:42:54Z
2015-09-18T08:42:54Z
1982
info:eu-repo/semantics/article
0034-0596
1137-2141
http://hdl.handle.net/11441/28557
https://idus.us.es/xmlui/handle/11441/28557
spa
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid, 76(1), 21-38
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Real Academia de Ciencias Exactas, Físicas y Naturales
oai:idus.us.es:11441/471992024-02-17T17:35:12Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-10-07T11:14:36Z
urn:hdl:11441/47199
Right Bregman nonexpansive operators in Banach spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
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
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.
2016-10-07T11:14:36Z
2016-10-07T11:14:36Z
2012-09
info:eu-repo/semantics/article
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
eng
Nonlinear Analysis: Theory, Methods and Applications, 75 (14), 5448-5465.
BFM2009-1096-C02-01
FQM-127
647/07
http://ac.els-cdn.com/S0362546X12001836/1-s2.0-S0362546X12001836-main.pdf?_tid=a1e792dc-8c7e-11e6-8962-00000aacb361&acdnat=1475838799_aef7f227d812375b8f4df5ec2f787e84
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/418442024-02-14T11:08:43Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-03T09:14:50Z
urn:hdl:11441/41844
Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces
Universidad de Sevilla. Departamento de Análisis Matemático
Dirección General de Investigación Científica y Técnica (DGICYT). España
Junta de Andalucía
Weighted sums
random elements in separable Banach spaces
compactly uniform integrability
{an,k}-compactly uniform integrability
tightness
{an,k}- uniform integrability
convergence in mean
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.
2016-06-03T09:14:50Z
2016-06-03T09:14:50Z
1997
info:eu-repo/semantics/article
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.
0161-1712
1687-0425
http://hdl.handle.net/11441/41844
10.1155/S0161171297000604
https://idus.us.es/xmlui/handle/11441/41844
eng
International Journal of Mathematics and Mathematical Sciences, 20, 443-450.
PB93-0926
http://dx.doi.org/10.1155/S0161171297000604
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Hindawi
oai:idus.us.es:11441/417532018-03-28T10:31:44Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-01T09:02:35Z
urn:hdl:11441/41753
Ratchet effect on a relativistic particle driven by external forces
Universidad de Sevilla. Departamento de Análisis Matemático
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.
2016-06-01T09:02:35Z
2016-06-01T09:02:35Z
2011
info:eu-repo/semantics/article
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.
0305-4470
1361-6447
http://hdl.handle.net/11441/41753
10.1088/1751-8113/44/42/425205
https://idus.us.es/xmlui/handle/11441/41753
eng
Journal of Physics. A, Mathematical and general, 44, 425205-1-425205-10.
MTM2009-12740-C03-02
FIS2008-02380/FIS
MOSAICO
FQM262
FQM207
P09-FQM-4643
MODELICO-CM
http://dx.doi.org/10.1088/1751-8113/44/42/425205
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Institute of Physics
oai:idus.us.es:11441/421312024-02-13T20:15:16Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-10T11:27:55Z
urn:hdl:11441/42131
Some bounds and limits in the theory of Riemann's zeta function
Universidad de Sevilla. Departamento de Análisis Matemático
zeta function
LLL algorithm
extreme values
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.
2016-06-10T11:27:55Z
2016-06-10T11:27:55Z
2012-12-01
info:eu-repo/semantics/article
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.
1096-0813
0022-247X
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
eng
Journal of Mathematical Analysis and Applications, 396 (1), 199-214.
Amsterdam
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/485202024-02-17T17:17:51Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-11-14T10:31:37Z
urn:hdl:11441/48520
Ap weights for nondoubling measures in Rn and applications
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM354: Análisis Real
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.
2016-11-14T10:31:37Z
2016-11-14T10:31:37Z
2002
info:eu-repo/semantics/article
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.
0002-9947
1088-6850
http://hdl.handle.net/11441/48520
10.1090/S0002-9947-02-02922-7
https://idus.us.es/xmlui/handle/11441/48520
eng
Transactions of the American Mathematical Society, 354 (5), 2013-2033.
SGR00059
2000-0361
PB98-0106
http://www.ams.org/journals/tran/2002-354-05/S0002-9947-02-02922-7/S0002-9947-02-02922-7.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
American Mathematical Society
oai:idus.us.es:11441/1537512024-02-13T09:00:02Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2024-01-22T12:39:36Z
urn:hdl:11441/153751
Lower-Dimensional Nonlinear Brinkman’s Law for Non-Newtonian Flows in a Thin Porous Medium
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM104: Analisis Matematico
Homogenization
non-Newtonian fluid
power law fluid
thin porous medium
Brinkman’s law
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.
2024-01-22T12:39:36Z
2024-01-22T12:39:36Z
2021-06-01
info:eu-repo/semantics/article
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.
1660-5446
1660-5454
https://hdl.handle.net/11441/153751
10.1007/s00009-021-01814-5
eng
Mediterranean Journal of Mathematics, 18, 175-1.
https://doi.org/10.1007/s00009-021-01814-5
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
oai:idus.us.es:11441/285562024-02-14T19:36:27Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2015-09-18T08:30:24Z
urn:hdl:11441/28556
I ∞ 0 (∑) no es totalmente tonelado
Universidad de Sevilla. Departamento de Análisis Matemático
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.
2015-09-18T08:30:24Z
2015-09-18T08:30:24Z
1985
info:eu-repo/semantics/article
1137-2141
0034-0596
http://hdl.handle.net/11441/28556
https://idus.us.es/xmlui/handle/11441/28556
spa
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid, 79(1-2), 77-78
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Real Academia de Ciencias Exactas, Físicas y Naturales
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
2022-01-10T17:43:57Z
urn:hdl:11441/128720
Average radial integrability spaces of analytic functions
Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)
Universidad de Sevilla. Departamento de Análisis Matemático
Mixed norm spaces
Radial integrability
Bergman projection
Article number 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, ∞).
2022-01-10T17:43:57Z
2022-01-10T17:43:57Z
2022
info:eu-repo/semantics/article
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
eng
Journal of Functional Analysis, 282 (1), Article number 109262.
PGC2018-094215-B-100
FQM133
FQM133
https://www.sciencedirect.com/science/article/pii/S002212362100344X
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Academic Press Inc.
oai:idus.us.es:11441/472732024-02-15T07:31:10Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-10-10T09:24:39Z
urn:hdl:11441/47273
Uncertainty principle estimates for vector fields
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM-354 Análisis Real
Dirección General de Investigación Científica y Técnica (DGICYT). España
National Science Foundation (NSF). United States
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.
2016-10-10T09:24:39Z
2016-10-10T09:24:39Z
2001-04-01
info:eu-repo/semantics/article
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
eng
Journal of Functional Analysis, 181 (1), 146-188.
PB940192
DMS 95-00799
http://ac.els-cdn.com/S002212360093711X/1-s2.0-S002212360093711X-main.pdf?_tid=9fa5bd20-8eca-11e6-8857-00000aab0f6c&acdnat=1476091339_fe48f37c33e6bff0396205c6e8d425a3
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/875052024-02-13T08:56:46Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-19T07:18:30Z
urn:hdl:11441/87505
Small entire functions with extremely fast growth
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Liouville’s theorem
Entire functions
Dense linear manifold
Arakelian set
Strips and sectors
Generalized order
Growth index
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.
2019-06-19T07:18:30Z
2019-06-19T07:18:30Z
1997-03-15
info:eu-repo/semantics/article
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
eng
Journal of Mathematical Analysis and Applications, 207 (2), 541-548.
PB93-0926
https://reader.elsevier.com/reader/sd/pii/S0022247X97953129?token=F24462800F97DA057CD6F6D0FC74F852AC0879D5DCD27C94B2AA8E236A1F3C9E04FB50BB689DF1994F7BEF845E97F1A2
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Elsevier
oai:idus.us.es:11441/417882024-02-13T09:01:14Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2016-06-02T06:17:16Z
urn:hdl:11441/41788
Compositional hypercyclicity equals supercyclicity
Universidad de Sevilla. Departamento de Análisis Matemático
Plan Andaluz de Investigación (Junta de Andalucía)
Dirección General de Enseñanza Superior
Ministerio de Educación y Ciencia
Fondo Europeo de Desarrollo Regional
Composition operator
hypercyclic sequence
supercyclic sequence
holomorphic selfmapping
Blaschke product
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
2016-06-02T06:17:16Z
2016-06-02T06:17:16Z
2007
info:eu-repo/semantics/article
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
eng
Houston Journal of Mathematics, 33 (2), 581-591.
FQM-127
BFM2003-03893-C02-01
MTM2005-07347
MTM2004-21420-E
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
University of Houston
oai:idus.us.es:11441/874942024-02-15T07:48:28Zcom_11441_10808com_11441_10802com_11441_10690col_11441_10809
2019-06-18T11:39:01Z
urn:hdl:11441/87494
Strongly omnipresent integral operators
Universidad de Sevilla. Departamento de Análisis Matemático
Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Integral operators
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.
2019-06-18T11:39:01Z
2019-06-18T11:39:01Z
2002-12
info:eu-repo/semantics/article
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.
0378-620X
1420-8989
https://hdl.handle.net/11441/87494
0378-620X/02/040397-13
eng
Integral Equations and Operator Theory, 44 (4), 397-409.
PB96-1348
https://link.springer.com/content/pdf/10.1007%2FBF01193668.pdf
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Springer
didl///col_11441_10809/100