Essentially Commuting Dual Truncated Toeplitz Operators

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外文摘要：In this paper,the authors completely characterize when two dual truncated Toeplitz operators ar e essentially commuting and when the semicommutator of two dual truncated Toeplitz operators is compact.Their main idea is to study dual truncated Toeplitz operators via Hankel operators,Toeplitz operators and function algebras.

外文关键词：

Hardy spaceDual truncated Toeplitz operatorEssentially commuting

作者：

Chongchao WANG、Xianfeng ZHAO、Dechao ZHENG

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作者单位：

College of Mathematics and Physics,Wenzhou University,Wenzhou 325035,Zhejiang,China

College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China

Center of Mathematics,Chongqing University,Chongqing 401331,China

Department of Mathematics,Vanderbilt University,Nashville,TN 37240,the United States

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基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaFundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities

项目编号：

11531003123711252020CDJQY-A0392020CDJ-LHSS-003

出版年：

2024

DOI：

10.1007/s11401-024-0030-8

数学年刊B辑(英文版)

国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD

影响因子：0.129

ISSN：0252-9599

年,卷(期)：2024.45(4)