Compact generalized weighted composition operators on the Bergman space

We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.

Bibliographic Details
Main Authors: Qinghua Hu, Xiangling Zhu
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2017-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3712.pdf
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author Qinghua Hu
Xiangling Zhu
author_facet Qinghua Hu
Xiangling Zhu
author_sort Qinghua Hu
collection DOAJ
description We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.
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spelling doaj.art-7bfb62c9ebcc427b8a7c6219bef973812022-12-21T19:57:34ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742017-01-01372303312http://dx.doi.org/10.7494/OpMath.2017.37.2.3033712Compact generalized weighted composition operators on the Bergman spaceQinghua Hu0Xiangling Zhu1Department of Mathematics, Shantou University, Guangdong Shantou 515063, P.R. ChinaDepartment of Mathematics, Jiaying University, Meizhou 514015, P.R. ChinaWe characterize the compactness of the generalized weighted composition operators acting on the Bergman space.http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3712.pdfBergman spacegeneralized weighted composition operatorcompactness
spellingShingle Qinghua Hu
Xiangling Zhu
Compact generalized weighted composition operators on the Bergman space
Opuscula Mathematica
Bergman space
generalized weighted composition operator
compactness
title Compact generalized weighted composition operators on the Bergman space
title_full Compact generalized weighted composition operators on the Bergman space
title_fullStr Compact generalized weighted composition operators on the Bergman space
title_full_unstemmed Compact generalized weighted composition operators on the Bergman space
title_short Compact generalized weighted composition operators on the Bergman space
title_sort compact generalized weighted composition operators on the bergman space
topic Bergman space
generalized weighted composition operator
compactness
url http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3712.pdf
work_keys_str_mv AT qinghuahu compactgeneralizedweightedcompositionoperatorsonthebergmanspace
AT xianglingzhu compactgeneralizedweightedcompositionoperatorsonthebergmanspace