The Berezin Transform and Radial Operators on the Weighted Bergman Space of the Unit Ball  

单位球加权Bergman空间上的Berezin变换与径向算子（英文）

作　　者：鲁美麟 李德生 关洪岩 

机构地区：[1]Department of Mathematics, Shenyang Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第1期47-54,共8页数学季刊（英文版）

摘　　要：In this paper, we analyze a class of bounded radial operators on the weighted Bergman space A2α(Bn, d Vα), we get that these kinds of operators are diagonal with respect to the standard orthonomal basis. We also investigate the connection between compactness of operators and the boundary behaviour of the corresponding Berezin transform. We further study a special class of radial operators, i.e., Toeplitz operators with a radial L1 symbol.

关 键 词：weighted Bergman space Berezin transform Radial operators Toeplitz operators 

分 类 号：O177.1[理学—数学]