Hyponormal Toeplitz operators with non-harmonic symbols on the weighted Bergman spaces

被引：6

作者：

Kim, Sumin ^{[1
,2
]}

Lee, Jongrak ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

[2] Sungkyunkwan Univ, Inst Basic Sci, Suwon 16419, South Korea

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Toeplitz operators; Hyponormal operators; Non-harmonic symbols; Weighted Bergman space;

D O I：

10.1007/s43034-022-00241-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the hyponormality of Toeplitz operators acting on the weighted Bergman space A(alpha)(2)(D). We establish necessary or sufficient conditions for the hyponormality of Toeplitz operators with non-harmonic symbols phi(z) that are bivariate polynomials in z and z over bar (i.e., phi(z) = az(z)(m-n) + bz(z)(s-t)). In particular, we present some characteristics according to the coefficients and degree of p(z).

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页数：14

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