BAND-DOMINATED OPERATORS ON BERGMAN-TYPE SPACES

被引：0
|
作者：
伍盛坤 [1 ]
郑德超 [2 ,3 ]
机构：
[1] College of Mathematics and Statistics,Chongqing University
[2] Department of Mathematics,Vanderbilt University
[3] Center of Mathematics,Chongqing University
来源：
ActaMathematicaScientia | 2023年 / 43卷 / 01期
关键词：
Band-dominated operators; Bergman-type space; Essential commutant;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper,we study band-dominated operators on Bergman-type spaces and prove that the C*-algebra of band-dominated operators is equal to the essential commutant of Toeplitz operators with a symbol in the set of bounded vanishing Lipschitz functions.On the Bergman space and the Fock space,we show that the C*-algebra of band-dominated operators equals the Toeplitz algebra.
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页码：387 / 408
页数：22
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