Browsing by Author "Li, Daniel"
Now showing items 1-20 of 26
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A criterion of weak compactness for operators on subspaces of Orlicz spaces
(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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A spectral radius type formula for approximation numbers of composition operators
(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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Approximation and entropy numbers of composition operators
(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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Approximation numbers of composition operators on Hp
(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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Approximation numbers of composition operators on the Dirichlet space
(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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Approximation numbers of composition operators on the Hardy space of the infinite polydisk
(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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Approximation numbers of weighted composition operators
(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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Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces
(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
(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
(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
(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
(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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Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk
(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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Nevanlinna counting function and Carleson function of analytic maps
(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
(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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On some random thin sets of integers
(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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Some examples of compact composition operators on H2
(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
(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 new thin sets of integers in harmonic analysis
(Springer, 2002-12)We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small ...