Complex Symmetric Toeplitz Operators on the Unit Polydisk and the Unit Ball

被引：9

作者：

Jiang, Cao ^{[1
]}

Dong, Xingtang ^{[2
]}

Zhou, Zehua ^{[2
]}

机构：

[1] Nanchang Hangkong Univ, Sch Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China

[2] Tianjin Univ, Sch Math, Tianjin 300350, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 01期

基金：

中国国家自然科学基金;

关键词：

complex symmetric operator; Toeplitz operator; Bergman space; pluriharmonic Bergman space;

D O I：

10.1007/s10473-020-0103-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：35 / 44

页数：10

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