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

We consider analytic self-maps ø‑1, ø ‑2 of the open unit disk as well as analytic mapsψ 1, ψ2. These maps induce differences of weighted composition operators acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. In this...

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Autor principal: Wolf,Elke
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200002
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spelling oai:scielo:S0719-064620100002000022018-10-08Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spacesWolf,Elke weighted composition operators weighted Bloch type spaces weighted Banach spaces of holomorphic functions We consider analytic self-maps ø‑1, ø ‑2 of the open unit disk as well as analytic mapsψ 1, ψ2. These maps induce differences of weighted composition operators acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. In this article we give necessary and sufficient conditions for such a difference to be bounded resp. compact.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.2 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200002en10.4067/S0719-06462010000200002
institution Scielo Chile
collection Scielo Chile
language English
topic weighted composition operators
weighted Bloch type spaces
weighted Banach spaces of holomorphic functions
spellingShingle weighted composition operators
weighted Bloch type spaces
weighted Banach spaces of holomorphic functions
Wolf,Elke
Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
description We consider analytic self-maps ø‑1, ø ‑2 of the open unit disk as well as analytic mapsψ 1, ψ2. These maps induce differences of weighted composition operators acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. In this article we give necessary and sufficient conditions for such a difference to be bounded resp. compact.
author Wolf,Elke
author_facet Wolf,Elke
author_sort Wolf,Elke
title Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
title_short Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
title_full Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
title_fullStr Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
title_full_unstemmed Differences of weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces
title_sort differences of weighted composition operators between weighted banach spaces of holomorphic functions and weighted bloch type spaces
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200002
work_keys_str_mv AT wolfelke differencesofweightedcompositionoperatorsbetweenweightedbanachspacesofholomorphicfunctionsandweightedblochtypespaces
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