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Listar por autor "Lefèvre, Pascal"
Mostrando ítems 1-16 de 16
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Artículo
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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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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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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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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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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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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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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Invariant means and thin sets in harmonic analysis with applications to prime numbers
Lefèvre, Pascal; Rodríguez Piazza, Luis (Wiley, 2009-08)We first prove a localization principle characterising Lust-Piquard sets. We obtain that the union of two Lust-Piquard ...
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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)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.
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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 ...
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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)We give examples of results on composition operators connected with lens maps. The first two concern the approximation ...
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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)We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces ...
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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)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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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)We study the canonical injection from the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ..
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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)We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces ...
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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)We give new proofs that some Banach spaces have Peczynski's property (V)