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Browsing by Author "Li, Daniel"
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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 MorseTransue space MΨ , the subspace of the Orlicz space LΨ generated by L∞.

Article
A spectral radius type formula for approximation numbers of composition operators
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 20141215)For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, ...

Article
Approximation and entropy numbers of composition operators
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (De Gruyter, 20201017)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.

Article
Approximation numbers of composition operators on Hp
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (De Gruyter Open, 201501)We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞.

Article
Approximation numbers of composition operators on the Dirichlet space
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 201504)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 the Hardy space of the infinite polydisk
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 201712)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.

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 ...

Article
Compact composition operators on HardyOrlicz and BergmanOrlicz spaces
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 201109)We construct an analytic selfmap ϕ of the unit disk and an Orlicz function Ψ for which the composition operator of symbol ...

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, 20130215)We prove several results about composition operators on the Dirichlet space D⁎. For every compact set K⊆∂D of logarithmic ...

Article
Compactification, and beyond, of composition operators on Hardy spaces by weights
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (OJS/PKP, 20210608)We study when multiplication by a weight can turn a noncompact composition operator on H2 into a compact operator, and ...

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 ...

Article
Composition operators on HardyOrlicz spaces
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (American Mathematical Society, 2010)We investigate composition operators on HardyOrlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak ...

Article
Estimates for approximation numbers of some classes of composition operators on the Hardy space
Rodríguez Piazza, Luis; Li, Daniel; Queffélec, Hervé (2013) 
Article
Infinitesimal Carleson property for weighted measures induced by analytic selfmaps of the unit disk
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 201308)We prove that, for every α>−1, the pullback measure φ(Aα) of the measure dAα(z)=(α+1)(1−z2)αdA(z), where A is the ...

Article
Nevanlinna counting function and Carleson function of analytic maps
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 201110)We show that the maximal Nevanlinna counting function and the Carleson function of analytic selfmaps of the unit disk are equivalent, up to constants.

Article
On approximation numbers of composition operators
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 201204)We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit ...

Article
On some random thin sets of integers
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (American Mathematical Society, 200801)We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality ...

Article
Some examples of compact composition operators on H2
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Elsevier, 20081201)We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their ...

Article
Some new properties of composition operators associated with lens maps
Lefèvre, Pascal; Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 201305)We give examples of results on composition operators connected with lens maps. The first two concern the approximation ...

Article
Some new thin sets of integers in harmonic analysis
Li, Daniel; Queffélec, Hervé; Rodríguez Piazza, Luis (Springer, 200212)We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small ...