Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball

Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball

We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols. We also characterize finite-rank semicommutators or commutators of two Toeplitz operators with quasihomogeneous sy...

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Main Authors: Bo Zhang, Yufeng Lu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/414201
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spelling doaj-8219cdba716c47499a5c8edcc6cb904e2020-11-24T22:26:02ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/414201414201Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit BallBo Zhang0Yufeng Lu1College of Science, Dalian Ocean University, Dalian 116023, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaWe consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols. We also characterize finite-rank semicommutators or commutators of two Toeplitz operators with quasihomogeneous symbols.http://dx.doi.org/10.1155/2012/414201
collection DOAJ
language English
format Article
sources DOAJ
author Bo Zhang
Yufeng Lu
spellingShingle Bo Zhang
Yufeng Lu
Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
Journal of Function Spaces and Applications
author_facet Bo Zhang
Yufeng Lu
author_sort Bo Zhang
title Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
title_short Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
title_full Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
title_fullStr Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
title_full_unstemmed Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball
title_sort toeplitz operators with quasihomogeneous symbols on the bergman space of the unit ball
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2012-01-01
description We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols. We also characterize finite-rank semicommutators or commutators of two Toeplitz operators with quasihomogeneous symbols.
url http://dx.doi.org/10.1155/2012/414201
work_keys_str_mv AT bozhang toeplitzoperatorswithquasihomogeneoussymbolsonthebergmanspaceoftheunitball
AT yufenglu toeplitzoperatorswithquasihomogeneoussymbolsonthebergmanspaceoftheunitball
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