On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces

Elke Wolf

Annales Polonici Mathematici (2011)

  • Volume: 101, Issue: 1, page 21-29
  • ISSN: 0066-2216

Abstract

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Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator ψ C 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

How to cite

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Elke Wolf. "On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces." Annales Polonici Mathematici 101.1 (2011): 21-29. <http://eudml.org/doc/280703>.

@article{ElkeWolf2011,
abstract = {Let ϕ: → and ψ: → 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},
author = {Elke Wolf},
journal = {Annales Polonici Mathematici},
keywords = {weighted composition operators; weighted Bloch type spaces; weighted Banach spaces of holomorphic functions},
language = {eng},
number = {1},
pages = {21-29},
title = {On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces},
url = {http://eudml.org/doc/280703},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Elke Wolf
TI - On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 1
SP - 21
EP - 29
AB - Let ϕ: → and ψ: → 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
LA - eng
KW - weighted composition operators; weighted Bloch type spaces; weighted Banach spaces of holomorphic functions
UR - http://eudml.org/doc/280703
ER -

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