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Browsing by Author "Rodríguez Piazza, Luis"
Now showing items 1-20 of 47
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Article
A criterion of weak compactness for operators on subspaces of Orlicz spaces
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (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∞.
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Article
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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Presentation
Absolutely summing Carleson embeddings on Hardy spaces
Rodríguez Piazza, Luis (2013) -
Article
Approximation and entropy numbers of composition operators
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (De Gruyter, 2020-10-17)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.
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Article
Approximation numbers of composition operators on Hp
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (De Gruyter Open, 2015-01)We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞.
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Article
Approximation numbers of composition operators on the Dirichlet space
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2015-04)We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and ...
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Article
Approximation numbers of composition operators on the Hardy space of the infinite polydisk
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2017-12)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.
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Article
Approximation numbers of weighted composition operators
Lechner, Gandalf; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2018)We study the approximation numbers of weighted composition operators f 7→ w · (f ◦ ϕ) on the Hardy space H2 on the unit ...
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Article
Average radial integrability spaces of analytic functions
Aguilar-Hernández, Tanausú; Contreras Márquez, Manuel Domingo; Rodríguez Piazza, Luis (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 ...
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Article
Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2011-09)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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Article
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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Article
Compactification, and beyond, of composition operators on Hardy spaces by weights
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (OJS/PKP, 2021-06-08)We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and ...
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Article
Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2021)We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of ...
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Article
Composition operators on Hardy-Orlicz spaces
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (American Mathematical Society, 2010)We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak ...
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Final Degree Project
Conjuntos evitables, capacidad analítica y medidas de Hausdorff
Rosales Tristancho, Abel (2016-06)The main problem we consider in this work is the characterization of removable sets. A compact set E in the complex plane ...
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Master's Final Project
La desigualdad de Von Neumann y la teoría de dilatación
Constantino Oitavén, Carlos (2018-09)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 ...
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Article
Estimates for approximation numbers of some classes of composition operators on the Hardy space
Rodríguez Piazza, Luis; Li, Daniel; Queffélec, Hervé (2013) -
Article
Extended eigenvalues of composition operators
Lacruz Martín, Miguel Benito; León Saavedra, Fernando; Petrovic, Srdjan; Rodríguez Piazza, Luis (Elsevier, 2021-12-15)A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ...
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Article
Extended eigenvalues of composition operators
Lacruz Martín, Miguel Benito; Leon Saavedra, Fernando; Petrovic, Srdjan; Rodríguez Piazza, Luis (Elsevier, 2021-12-15)A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ...
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Article
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 ...