Data

NameRodríguez Piazza, Luis
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryCatedrático de Universidad
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  Statistics

  • Items

    37

  • Visits

    3526

  • Downloads

    3748

  Publications

 

Final Degree Project
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El teorema de Kahane-Katznelson-de Leeuw

Rodríguez Piazza, Luis; García Rosa, Ignacio (2019-01-01)
A lo largo de este trabajo, nuestro objetivo será estudiar el tamaño de los coeficientes de Fourier en diferentes espacios ...
Master's Final Project
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Operadores universales y subespacios invariantes

Rodríguez Piazza, Luis; Lacruz Martín, Miguel Benito; González Doña, Francisco Javier (2019-01-01)
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
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La desigualdad de Von Neumann y la teoría de dilatación

Lacruz Martín, Miguel Benito; Rodríguez Piazza, Luis; Constantino Oitavén, Carlos (2018-09-01)
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
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Approximation numbers of weighted composition operators

Lechner, Gandalf; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2018-01-01)
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
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Operadores de composición y clases de Schatten

Rodríguez Piazza, Luis; Lacruz Martín, Miguel Benito; González Doña, Francisco Javier (2018-01-01)
The main goal of this work is to characterize the membership of composition operators on the Hardy space H2 of the unit ...
Article
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Approximation numbers of composition operators on the Hardy space of the infinite polydisk

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2017-12-01)
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
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Semigrupos de operadores de composición

Contreras Márquez, Manuel Domingo; Rodríguez Piazza, Luis; Rosales Tristancho, Abel (2017-09-01)
The main problem we consider in this work is the study of semigroups of composition operators on spaces of analytic functions ...
Article
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On the Muskat problem: global in time results in 2D and 3D

Constantin, Peter; Córdoba Gazolaz, Diego; Gancedo García, Francisco; Rodríguez Piazza, Luis; Strain, Robert M. (Johns Hopkins University Press, 2016-12-01)
This paper considers the three dimensional Muskat problem in the stable regime. We obtain a conservation law which provides ...
Final Degree Project
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Conjuntos evitables, capacidad analítica y medidas de Hausdorff

Rodríguez Piazza, Luis; Rosales Tristancho, Abel (2016-06-01)
The main problem we consider in this work is the characterization of removable sets. A compact set E in the complex plane ...
Article
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Two results on composition operators on the Dirichlet space

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2015-06-15)
We show that the decay of approximation numbers of compact composition operators on the Dirichlet space D can be as slow ...
Article
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Approximation numbers of composition operators on the Dirichlet space

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2015-04-01)
We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and ...
Article
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Approximation numbers of composition operators on Hp

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (De Gruyter Open, 2015-01-01)
We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞.
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A spectral radius type formula for approximation numbers of composition operators

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2014-12-15)
For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, ...
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Function algebras with a strongly precompact unit ball

Lacruz Martín, Miguel Benito; Rodríguez Piazza, Luis (Elsevier, 2013-10-01)
Let µ be a finite positive Borel measure with compact support K ⊆ C, and regard L∞(µ) as an algebra of multiplication ...
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Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2013-08-01)
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
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Some new properties of composition operators associated with lens maps

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2013-05-01)
We give examples of results on composition operators connected with lens maps. The first two concern the approximation ...
Article
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Compact composition operators on the Dirichlet space and capacity of sets of contact points

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2013-02-15)
We prove several results about composition operators on the Dirichlet space D⁎. For every compact set K⊆∂D of logarithmic ...
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Estimates for approximation numbers of some classes of composition operators on the Hardy space

Rodríguez Piazza, Luis; Li, Daniel; Queffélec, Hervé (2013-01-01)
Presentation
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Absolutely summing Carleson embeddings on Hardy spaces

Rodríguez Piazza, Luis (2013-01-01)
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On approximation numbers of composition operators

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2012-04-01)
We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit ...
Article
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Some revisited results about composition operators on Hardy spaces

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (European Mathematical Society, 2012-01-01)
We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces ...
Article
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Nevanlinna counting function and Carleson function of analytic maps

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2011-10-01)
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
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Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2011-09-01)
We construct an analytic self-map ϕ of the unit disk and an Orlicz function Ψ for which the composition operator of symbol ...
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Thin sets of integers in Harmonic analysis and p-stable random Fourier series

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2011-06-01)
We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces ...
Article
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The canonical injection of the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Polish Academy of Sciences, Institute of Mathematics, 2011-01-01)
We study the canonical injection from the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ..
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Composition operators on Hardy-Orlicz spaces

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (American Mathematical Society, 2010-01-01)
We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak ...
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Invariant means and thin sets in harmonic analysis with applications to prime numbers

Lefèvre, Pascal; Rodríguez Piazza, Luis (Wiley, 2009-08-01)
We first prove a localization principle characterising Lust-Piquard sets. We obtain that the union of two Lust-Piquard ...
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Some examples of compact composition operators on H2

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2008-12-01)
We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their ...
Article
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Weak compactness and Orlicz spaces

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Polish Academy of Sciences (Institute of Mathematics), 2008-01-01)
We give new proofs that some Banach spaces have Peczynski's property (V)
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On some random thin sets of integers

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (American Mathematical Society, 2008-01-01)
We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality ...
Article
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A criterion of weak compactness for operators on subspaces of Orlicz spaces

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Hindawi, 2008-01-01)
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∞.
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Lp-valued measures without finite X-semivariation for 2 < p < ∞

Jefferies, Brian; Okada, Susumu; Rodríguez Piazza, Luis (Taylor & Francis, 2007-01-01)
We show that for 1 ≤ p < ∞, the property that every Lp-valued vector measure has finite X-semivariation in Lp(μ, X) is ...
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Strongly compact algebras

Lacruz Martín, Miguel Benito; Lomonosov, Victor; Rodríguez Piazza, Luis (Real Academia de Ciencias Exactas, Fisicas y Naturales, 2006-01-01)
An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively ...
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Some translation-invariant Banach function spaces which contain C0

Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Polish Academy of Sciences, Institute of Mathematics, 2004-01-01)
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space c0.
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Some new thin sets of integers in harmonic analysis

Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2002-12-01)
We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small ...
PhD Thesis
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Medidas cónicas y rangos de medidas vectoriales

Rodríguez Piazza, Luis; Arias de Reyna Martínez, Juan; Romero Moreno, María del Carmen (1996-01-01)
PhD Thesis
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Rango y propiedades de medidas vectoriales. Conjuntos p-Sidon p.s.

Arias de Reyna Martínez, Juan; Rodríguez Piazza, Luis (1991-01-01)
La presente memoria trata dos campos diferentes del Análisis Matemático. La primera parte se inscribe en el marco del ...