COMPLEX SYMMETRIC TOEPLITZ OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL  

作　　者：Cao JIANG Xingtang DONG Zehua ZHOU 蒋操;董兴堂;周泽华(School of Mathematics and Information Sciences,Nanchang Hangkong University,Nanchang 330063,China;School of Mathematics,Tianjin University,Tianjin 300350,China)

机构地区：[1]School of Mathematics and Information Sciences,Nanchang Hangkong University,Nanchang 330063,China [2]School of Mathematics,Tianjin University,Tianjin 300350,China

出　　处：《Acta Mathematica Scientia》2020年第1期35-44,共10页数学物理学报（B辑英文版）

基　　金：supported in part by the National Natural Science Foundation of China(11201331,11771323)。

摘　　要：In this article,we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables.Surprisingly,the necessary and sufficient conditions for Toeplitz operators to be complex symmetric on these two spaces with certain conjugations are just the same.Also,some interesting symmetry properties of complex symmetric Toeplitz operators are obtained.

关 键 词：COMPLEX SYMMETRIC OPERATOR Toeplitz OPERATOR BERGMAN SPACE pluriharmonic BERGMAN SPACE 

分 类 号：O177[理学—数学]