Now showing items 1-10 of 23
On approximation numbers of composition operators [Article]
We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit disk can tend to 0 arbitrarily slowly, but that they never tend quickly to 0: they grow at ...
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..
Approximation numbers of composition operators on Hp [Article]
(De Gruyter Open, 2015-01)
We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞.
Compact composition operators on the Dirichlet space and capacity of sets of contact points [Article]
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 ...
A spectral radius type formula for approximation numbers of composition operators [Article]
For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞[an(Cφ)]1/n=e−1 ...
Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk [Article]
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 normalized area measure on the unit disk D, by every analytic self-map φ:D→D is not only an (α+2)-Carleson ...
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 ...
Some examples of compact composition operators on H2 [Article]
We construct, in an essentially explicit way, various composition operators on H2 and study their compactness or their membership in the Schatten classes. We construct: non-compact composition operators on H2 whose symbols ...
Weak compactness and Orlicz spaces [Article]
(Polish Academy of Sciences (Institute of Mathematics), 2008)
We give new proofs that some Banach spaces have Peczynski's property (V)
Approximation numbers of weighted composition operators [Article]
We study the approximation numbers of weighted composition operators f 7→ w · (f ◦ ϕ) on the Hardy space H2 on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers ...