Multiplication Operator with BMO Symbols and Berezin Transform

We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.

Bibliographic Details
Main Authors:	Xue Feng, Kan Zhang, Jianguo Dong, Xianmin Liu, Chi Guan
Format:	Article
Language:	English
Published:	Hindawi Limited 2015-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2015/754646

id	doaj-0d4bbdd18c264eac99f133055402a02c
record_format	Article
spelling	doaj-0d4bbdd18c264eac99f133055402a02c2020-11-25T00:23:31ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/754646754646Multiplication Operator with BMO Symbols and Berezin TransformXue Feng0Kan Zhang1Jianguo Dong2Xianmin Liu3Chi Guan4College of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaCollege of Sciences, Shenyang Agricultural University, Shenyang 110866, ChinaWe discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.http://dx.doi.org/10.1155/2015/754646
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xue Feng Kan Zhang Jianguo Dong Xianmin Liu Chi Guan
spellingShingle	Xue Feng Kan Zhang Jianguo Dong Xianmin Liu Chi Guan Multiplication Operator with BMO Symbols and Berezin Transform Journal of Function Spaces
author_facet	Xue Feng Kan Zhang Jianguo Dong Xianmin Liu Chi Guan
author_sort	Xue Feng
title	Multiplication Operator with BMO Symbols and Berezin Transform
title_short	Multiplication Operator with BMO Symbols and Berezin Transform
title_full	Multiplication Operator with BMO Symbols and Berezin Transform
title_fullStr	Multiplication Operator with BMO Symbols and Berezin Transform
title_full_unstemmed	Multiplication Operator with BMO Symbols and Berezin Transform
title_sort	multiplication operator with bmo symbols and berezin transform
publisher	Hindawi Limited
series	Journal of Function Spaces
issn	2314-8896 2314-8888
publishDate	2015-01-01
description	We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
url	http://dx.doi.org/10.1155/2015/754646
work_keys_str_mv	AT xuefeng multiplicationoperatorwithbmosymbolsandberezintransform AT kanzhang multiplicationoperatorwithbmosymbolsandberezintransform AT jianguodong multiplicationoperatorwithbmosymbolsandberezintransform AT xianminliu multiplicationoperatorwithbmosymbolsandberezintransform AT chiguan multiplicationoperatorwithbmosymbolsandberezintransform
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Multiplication Operator with BMO Symbols and Berezin Transform

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