Product and Commutativity of kth-Order Slant Toeplitz Operators

Product and Commutativity of kth-Order Slant Toeplitz Operators

The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. We show that, on the Lebesgue space and Bergman space, necessary and sufficient conditions for the commutativity of kth-order slant Toeplitz operators are...

Full description

Bibliographic Details
Main Authors: Chaomei Liu, Yufeng Lu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/473916
id doaj-64f93039c6134e0e90d00be083003a5e
record_format Article
spelling doaj-64f93039c6134e0e90d00be083003a5e2020-11-24T22:26:06ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/473916473916Product and Commutativity of kth-Order Slant Toeplitz OperatorsChaomei Liu0Yufeng Lu1School of Science, Dalian Jiaotong University, Dalian 116028, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaThe commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. We show that, on the Lebesgue space and Bergman space, necessary and sufficient conditions for the commutativity of kth-order slant Toeplitz operators are that their symbol functions are linearly dependent. Also, we study the product of two kth-order slant Toeplitz operators and give some necessary and sufficient conditions.http://dx.doi.org/10.1155/2013/473916
collection DOAJ
language English
format Article
sources DOAJ
author Chaomei Liu
Yufeng Lu
spellingShingle Chaomei Liu
Yufeng Lu
Product and Commutativity of kth-Order Slant Toeplitz Operators
Abstract and Applied Analysis
author_facet Chaomei Liu
Yufeng Lu
author_sort Chaomei Liu
title Product and Commutativity of kth-Order Slant Toeplitz Operators
title_short Product and Commutativity of kth-Order Slant Toeplitz Operators
title_full Product and Commutativity of kth-Order Slant Toeplitz Operators
title_fullStr Product and Commutativity of kth-Order Slant Toeplitz Operators
title_full_unstemmed Product and Commutativity of kth-Order Slant Toeplitz Operators
title_sort product and commutativity of kth-order slant toeplitz operators
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. We show that, on the Lebesgue space and Bergman space, necessary and sufficient conditions for the commutativity of kth-order slant Toeplitz operators are that their symbol functions are linearly dependent. Also, we study the product of two kth-order slant Toeplitz operators and give some necessary and sufficient conditions.
url http://dx.doi.org/10.1155/2013/473916
work_keys_str_mv AT chaomeiliu productandcommutativityofkthorderslanttoeplitzoperators
AT yufenglu productandcommutativityofkthorderslanttoeplitzoperators
_version_ 1725754599385595904

Similar Items