BAND-DOMINATED OPERATORS ON BERGMAN-TYPE SPACES  

作　　者：伍盛坤 郑德超 Shengkun WU;Dechao ZHENG(College of Mathematics and Statistics,Chongqing University,Chongqing,401331,China;Department of Mathematics,Vanderbilt University,Nashville,TN,37240,USA;Center of Mathematics,Chongqing University,Chongqing,401331,China)

机构地区：[1]College of Mathematics and Statistics,Chongqing University,Chongqing,401331,China [2]Department of Mathematics,Vanderbilt University,Nashville,TN,37240,USA [3]Center of Mathematics,Chongqing University,Chongqing,401331,China

出　　处：《Acta Mathematica Scientia》2023年第1期387-408,共22页数学物理学报（B辑英文版）

基　　金：supported by CSC(201906050022);partially supported by NFSC(11531003)。

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.

关 键 词：Band-dominated operators Bergman-type space Essential commutant 

分 类 号：O177[理学—数学]