Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space

Elke Wolf

Annales Polonici Mathematici (2009)

  • Volume: 96, Issue: 1, page 43-50
  • 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 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.

How to cite

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Elke Wolf. "Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space." Annales Polonici Mathematici 96.1 (2009): 43-50. <http://eudml.org/doc/280987>.

@article{ElkeWolf2009,
abstract = {Let ϕ: → and ψ: → 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.},
author = {Elke Wolf},
journal = {Annales Polonici Mathematici},
keywords = {weighted composition operator; weighted -space; weighted Bloch type space; boundedness; compactness},
language = {eng},
number = {1},
pages = {43-50},
title = {Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space},
url = {http://eudml.org/doc/280987},
volume = {96},
year = {2009},
}

TY - JOUR
AU - Elke Wolf
TI - Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space
JO - Annales Polonici Mathematici
PY - 2009
VL - 96
IS - 1
SP - 43
EP - 50
AB - Let ϕ: → and ψ: → 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.
LA - eng
KW - weighted composition operator; weighted -space; weighted Bloch type space; boundedness; compactness
UR - http://eudml.org/doc/280987
ER -

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