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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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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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 |
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Scielo Chile |
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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 |
_version_ |
1714206765039484928 |