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Weighted Fréchet spaces of holomorphic functions

100%
Wolf E.
Studia Mathematica
|
2006
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tom 174
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nr 3
255-275
EN
This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type $H^{∞}$. We characterize when these Fréchet spaces are Schwartz, Montel or reflexive. The quasinormability is also analyzed. In the latter case more restrictive assumptions are needed to obtain a full characterization.
2
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On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces

100%
Wolf E.
Annales Polonici Mathematici
|
2011
|
tom 101
|
nr 1
21-29
EN
Let ϕ: 𝔻 → 𝔻 and ψ: 𝔻 → ℂ be analytic maps. They induce a weighted composition operator $ψC_{ϕ}$ acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
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Boundedness and compactness of weighted composition operators between weighted Bergman spaces

100%
Wolf E.
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
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2012
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tom 66
|
nr 1
EN
We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
4
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Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space

100%
Wolf E.
Annales Polonici Mathematici
|
2009
|
tom 96
|
nr 1
43-50
EN
Let ϕ: 𝔻 → 𝔻 and ψ: 𝔻 → ℂ be analytic maps. They induce a weighted composition operator $ψC_{ϕ}$ acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.
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