Now showing items 1-10 of 31
Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces [Article]
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 ...
Rango y propiedades de medidas vectoriales. Conjuntos p-Sidon p.s. [PhD Thesis]
La presente memoria trata dos campos diferentes del Análisis Matemático. La primera parte se inscribe en el marco del estudio de las Medidas Vectoriales. La segunda trata sobre algunos problemas de Análisis Armónico, en ...
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..
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 ...
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 ...
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 < ∞.