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Artículo
Weak compactness and Orlicz spaces
(Polish Academy of Sciences (Institute of Mathematics), 2008)
We give new proofs that some Banach spaces have Peczynski's property (V)
Artículo
The canonical injection of the Hardy-Orlicz space HΨ into the Bergman–Orlicz space BΨ
(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..
Artículo
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 ϕ is compact on the Hardy-Orlicz space HΨ, but not on the Bergman-Orlicz space BΨ. For that, we first ...
Artículo
Extended eigenvalues of composition operators
(Elsevier, 2021-12-15)
A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that . The results in this paper provide a full solution to the problem ...
Artículo
Lp-valued measures without finite X-semivariation for 2 < p < ∞
(Taylor & Francis, 2007)
We show that for 1 ≤ p < ∞, the property that every Lp-valued vector measure has finite X-semivariation in Lp(μ, X) is equivalent to the property that every continuous linear map from 1 to X is p-summing. For 2 < p < ...
Artículo
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 membership in the Schatten classes. We construct: non-compact composition operators on H2 whose symbols ...
Artículo
Tesis Doctoral
Spaces of Analytic Functions With Average Radial Integrability and Integration Operators
(2021-10-04)
In this thesis, we introduce the family of spaces of holomorphic functions in the unit disc with average radial integrability RM(p; q), 0 < p; q 1. This family contains the classical Hardy spaces Hq (when p = 1) and ...