Complex symmetric Toeplitz operators on the weighted Bergman space

被引：5

作者：

Ko, Eungil ^{[1
]}

Lee, Ji Eun ^{[2
]}

Lee, Jongrak ^{[3
]}

机构：

[1] Ewha Womans Univ, Dept Math, Seoul, South Korea

[2] Sejong Univ, Dept Math & Stat, Seoul, South Korea

[3] Jeju Natl Univ, Dept Math, Jeju, South Korea

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2022年 / 67卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Complex symmetric operator; Toeplitz operator; normal operator; weighted Bergman space;

D O I：

10.1080/17476933.2021.1882431

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a characterization of a complex symmetric Toeplitz operator T-phi on the weighted Bergman space A(alpha)(2)(D). We first give properties of complex symmetric Toeplitz operators T-phi on A(alpha)(2)(D). Next, weprove that if T-phi is complex symmetric with finite symbol, then T-phi is hyponormal on A(alpha)(2)(D) if and only if it is hyponormal on the Hardy space H-2(T). Finally, we consider the complex symmetric Toeplitz operator T-phi on A(alpha)(2)(D) when the conjugation is a special case.

引用

页码：1393 / 1408

页数：16

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