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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

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.

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

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

Weighted Fréchet spaces of holomorphic functions

100%

Wolf E.

Studia Mathematica

2006

tom 174

nr 3

255-275

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.

Boundedness and compactness of weighted composition operators between weighted Bergman spaces

100%

Wolf E.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2012

tom 66

nr 1

We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.