Compact differences of weighted composition operators on the weighted Bergman spaces

In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Funct. Anal....

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Detalles Bibliográficos
Autores principales: Wang, Maocai, Yao, Xingxing, Chen, Fen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5209450/
https://www.ncbi.nlm.nih.gov/pubmed/28111502
http://dx.doi.org/10.1186/s13660-016-1277-8
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author Wang, Maocai
Yao, Xingxing
Chen, Fen
author_facet Wang, Maocai
Yao, Xingxing
Chen, Fen
author_sort Wang, Maocai
collection PubMed
description In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Funct. Anal. 219:70-92, 2005).
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spelling pubmed-52094502017-01-18 Compact differences of weighted composition operators on the weighted Bergman spaces Wang, Maocai Yao, Xingxing Chen, Fen J Inequal Appl Research In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse’s results in (J. Funct. Anal. 219:70-92, 2005). Springer International Publishing 2017-01-03 2017 /pmc/articles/PMC5209450/ /pubmed/28111502 http://dx.doi.org/10.1186/s13660-016-1277-8 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wang, Maocai
Yao, Xingxing
Chen, Fen
Compact differences of weighted composition operators on the weighted Bergman spaces
title Compact differences of weighted composition operators on the weighted Bergman spaces
title_full Compact differences of weighted composition operators on the weighted Bergman spaces
title_fullStr Compact differences of weighted composition operators on the weighted Bergman spaces
title_full_unstemmed Compact differences of weighted composition operators on the weighted Bergman spaces
title_short Compact differences of weighted composition operators on the weighted Bergman spaces
title_sort compact differences of weighted composition operators on the weighted bergman spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5209450/
https://www.ncbi.nlm.nih.gov/pubmed/28111502
http://dx.doi.org/10.1186/s13660-016-1277-8
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AT yaoxingxing compactdifferencesofweightedcompositionoperatorsontheweightedbergmanspaces
AT chenfen compactdifferencesofweightedcompositionoperatorsontheweightedbergmanspaces

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