A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

被引：0

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：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Toeplitz operators; Bergman space; hyponormal operators;

D O I：

10.4134/BKMS.b230566

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the sufficient condition for hyponormal Toeplitz operators T-phi with non-harmonic symbols phi(z) = & sum;(k)(& ell;=1) a(& ell;)z(& ell;)(m)z<overline>(n)(& ell;) with m(& ell;)-n(& ell;) = delta > 0 for all 1 <= & ell; <= k, and a(& ell;) is an element of C on the Bergman spaces. In particular, we will observe the characteristics of the hyponormality of the Toeplitz operators T-phi according to the positional relationship of the coefficients a(& ell;)'s.

引用

页码：1019 / 1031

页数：13

共 14 条

[1]

Axler S., 1988, SURVEYS SOME RECENT, V1, P1

[2]

COWEN C, 1988, PITMAN RES NOTES MAT, V171, P155

[3] HYPONORMAL TOEPLITZ OPERATORS WITH NON-HARMONIC SYMBOL ACTING ON THE BERGMAN SPACE [J].