Author profile: Rodríguez Piazza, Luis
Institutional data
Name | Rodríguez Piazza, Luis |
Department | Análisis Matemático |
Knowledge area | Análisis Matemático |
Professional category | Catedrático de Universidad |
Request | |
Statistics
-
No. publications
48
-
No. visits
7033
-
No. downloads
8082
Publications |
---|
PhD Thesis
Operators on Banach spaces of Dirichlet series and semigroups of analytic functions
(2024)
The two main objects studied in this thesis are some operators acting on Banach spaces of Dirichlet series and continuous ... |
Article
Semigroups of composition operators on Hardy spaces of Dirichlet series
(Elsevier, 2023)
We consider continuous semigroups of analytic functions {Φt}t≥0 in the so-called Gordon-Hedenmalm class G, that is, the ... |
Final Degree Project
Sucesiones interpolantes en el disco unidad
(2022)
A lo largo de este texto, nuestro objetivo será presentar y demostrar la condición suficiente y necesaria, dada por Carleson, ... |
Article
Average radial integrability spaces of analytic functions
(Academic Press Inc., 2022)
In this paper we introduce the family of spaces RM(p, q), 1 ≤ p, q ≤ +∞. They are spaces of holomorphic functions in the ... |
Article
Extended eigenvalues of composition operators
(Elsevier, 2021)
A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ... |
Article
Extended eigenvalues of composition operators
(Elsevier, 2021)
A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ... |
PhD Thesis
Spaces of Analytic Functions With Average Radial Integrability and Integration Operators
(2021)
In this thesis, we introduce the family of spaces of holomorphic functions in the unit disc with average radial integrability ... |
Article
Compactification, and beyond, of composition operators on Hardy spaces by weights
(OJS/PKP, 2021)
We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and ... |
Article
Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
(Elsevier, 2021)
We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of ... |
Article
Integration Operators in Average Radial Integrability Spaces of Analytic Functions
(Springer, 2021)
In this paper we characterize the boundedness, compactness, and weak compactness of the integration operators Tg(f)(z) = ... |
Article
Approximation and entropy numbers of composition operators
(De Gruyter, 2020)
We give a survey on approximation numbers of composition operators on the Hardy space, on thedisk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how theyare different. |
Final Degree Project
El teorema de Kahane-Katznelson-de Leeuw
(2019)
A lo largo de este trabajo, nuestro objetivo será estudiar el tamaño de los coeficientes de Fourier en diferentes espacios ... |
Master's Final Project
Operadores universales y subespacios invariantes
(2019)
The Invariant Subspace Problem is one of the most studied problems on Operator Theory in the last decades. In fact, it is ... |
Master's Final Project
La desigualdad de Von Neumann y la teoría de dilatación
(2018)
A famous inequality by von Neumann states that if T is a contraction on a Hilbert space and p is a polynomial, then kp(T)k ... |
Article
Approximation numbers of weighted composition operators
(Elsevier, 2018)
We study the approximation numbers of weighted composition operators f 7→ w · (f ◦ ϕ) on the Hardy space H2 on the unit ... |
Final Degree Project
Operadores de composición y clases de Schatten
(2018)
The main goal of this work is to characterize the membership of composition operators on the Hardy space H2 of the unit ... |
Article
Approximation numbers of composition operators on the Hardy space of the infinite polydisk
(Springer, 2017)
We study the composition operators of the Hardy space on D∞ ∩ℓ1, the ℓ1 part of the infinite polydisk, and the behavior of their approximation numbers. |
Master's Final Project
Semigrupos de operadores de composición
(2017)
The main problem we consider in this work is the study of semigroups of composition operators on spaces of analytic functions ... |
Article
On the Muskat problem: global in time results in 2D and 3D
(Johns Hopkins University Press, 2016)
This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conservation law which provides ... |
Final Degree Project
Conjuntos evitables, capacidad analítica y medidas de Hausdorff
(2016)
The main problem we consider in this work is the characterization of removable sets. A compact set E in the complex plane ... |
Article
Two results on composition operators on the Dirichlet space
(Elsevier, 2015)
We show that the decay of approximation numbers of compact composition operators on the Dirichlet space D can be as slow ... |
Article
Approximation numbers of composition operators on the Dirichlet space
(Springer, 2015)
We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and ... |
Article
Approximation numbers of composition operators on Hp
(De Gruyter Open, 2015)
We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞. |
Article
A spectral radius type formula for approximation numbers of composition operators
(Elsevier, 2014)
For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, ... |
Article
Function algebras with a strongly precompact unit ball
(Elsevier, 2013)
Let µ be a finite positive Borel measure with compact support K ⊆ C, and regard L∞(µ) as an algebra of multiplication ... |
Article
Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk
(Springer, 2013)
We prove that, for every α>−1, the pull-back measure φ(Aα) of the measure dAα(z)=(α+1)(1−|z|2)αdA(z), where A is the ... |
Article
Some new properties of composition operators associated with lens maps
(Springer, 2013)
We give examples of results on composition operators connected with lens maps. The first two concern the approximation ... |
Article
Compact composition operators on the Dirichlet space and capacity of sets of contact points
(Elsevier, 2013)
We prove several results about composition operators on the Dirichlet space D⁎. For every compact set K⊆∂D of logarithmic ... |
Presentation |
Article |
Article
On approximation numbers of composition operators
(Elsevier, 2012)
We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit ... |
Article
Some revisited results about composition operators on Hardy spaces
(European Mathematical Society, 2012)
We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces ... |
Article
Nevanlinna counting function and Carleson function of analytic maps
(Springer, 2011)
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. |
Article
Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces
(Springer, 2011)
We construct an analytic self-map ϕ of the unit disk and an Orlicz function Ψ for which the composition operator of symbol ... |
Article
Thin sets of integers in Harmonic analysis and p-stable random Fourier series
(Springer, 2011)
We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces ... |
Article
The canonical injection of the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ
(Polish Academy of Sciences, Institute of Mathematics, 2011)
We study the canonical injection from the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ.. |
Article
Composition operators on Hardy-Orlicz spaces
(American Mathematical Society, 2010)
We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak ... |
Article
Invariant means and thin sets in harmonic analysis with applications to prime numbers
(Wiley, 2009)
We first prove a localization principle characterising Lust-Piquard sets. We obtain that the union of two Lust-Piquard ... |
Article
Some examples of compact composition operators on H2
(Elsevier, 2008)
We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their ... |
Article
A criterion of weak compactness for operators on subspaces of Orlicz spaces
(Hindawi, 2008)
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∞. |
Article
On some random thin sets of integers
(American Mathematical Society, 2008)
We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality ... |
Article
Weak compactness and Orlicz spaces
(Polish Academy of Sciences (Institute of Mathematics), 2008)
We give new proofs that some Banach spaces have Peczynski's property (V) |
Article
Lp-valued measures without finite X-semivariation for 2 < p < ∞
(Taylor & Francis, 2007)
We show that for 1 ≤ p < ∞, the property that every Lp-valued vector measure has finite X-semivariation in Lp(μ, X) is ... |
Article
Strongly compact algebras
(Real Academia de Ciencias Exactas, Fisicas y Naturales, 2006)
An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively ... |
Article
Some translation-invariant Banach function spaces which contain C0
(Polish Academy of Sciences, Institute of Mathematics, 2004)
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space c0. |
Article
Some new thin sets of integers in harmonic analysis
(Springer, 2002)
We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small ... |
PhD Thesis |
PhD Thesis
Rango y propiedades de medidas vectoriales. Conjuntos p-Sidon p.s.
(1991)
La presente memoria trata dos campos diferentes del Análisis Matemático. La primera parte se inscribe en el marco del ... |