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The canonical injection of the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ [Article]
(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..
Compact composition operators on the Dirichlet space and capacity of sets of contact points [Article]
(Elsevier, 2013-02-15)
We prove several results about composition operators on the Dirichlet space D⁎. For every compact set K⊆∂D of logarithmic capacity , there exists a Schur function φ both in the disk algebra A(D) and in D⁎ such that the ...
Some revisited results about composition operators on Hardy spaces [Article]
(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 HΨ: construction of a “slow” Blaschke product giving a non-compact composition operator on ...
Composition operators on Hardy-Orlicz spaces [Article]
(American Mathematical Society, 2010)
We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Ψ grows rapidly: compactness, weak compactness, to be p-summing, order bounded,..., and show how these notions behave according to the ...
Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces [Article]
(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 ϕ is compact on the Hardy-Orlicz space HΨ, but not on the Bergman-Orlicz space BΨ. For that, we first ...