Browsing Artículos (Instituto de Matemáticas de la Universidad de Sevilla (Antonio de Castro Brzezicki)) by Author
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Browsing Artículos (Instituto de Matemáticas de la Universidad de Sevilla (Antonio de Castro Brzezicki)) by Author "Li, Daniel"
Now showing items 1-15 of 15
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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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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
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
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)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 ...
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Article
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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On approximation numbers of composition operators
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 2012-04)We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit ...
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Article
On some random thin sets of integers
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (American Mathematical Society, 2008-01)We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality ...
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Article
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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Article
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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Article
Some new thin sets of integers in harmonic analysis
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 2002-12)We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small ...
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Article
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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Article
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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Article
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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Article
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 ...