H-Toeplitz operators on the function spaces

被引：2

作者：

Kim, Sumin ^{[1
]}

Ko, Eungil ^{[2
]}

Lee, Ji Eun ^{[3
]}

Lee, Jongrak ^{[1
]}

机构：

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

[2] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea

[3] Sejong Univ, Dept Math & Stat, Seoul 143747, South Korea

来源：

MONATSHEFTE FUR MATHEMATIK | 2024年 / 205卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Hardy spaces; Weighted Bergman spaces; H-Toeplitz operator; COMPLEX SYMMETRIC-OPERATORS; HYPONORMALITY;

D O I：

10.1007/s00605-024-01985-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study several classes of H-Toeplitz operators (defined below) on the Hardy space H-2. In particular, we prove that, for phi is an element of L-infinity, the adjoint of H-Toeplitz operators is hyponormal. Next, we investigate several properties of H-Toeplitz operators on the weighted Bergman spaces. Finally, we give necessary and sufficient conditions for H-Toeplitz operators to be contractive and expansive on the weighted Bergman spaces.

引用

页码：757 / 786

页数：30

共 29 条

[1]

Arora SC., 2007, Bull. Pure Appl. Math, V1, P141

[2] TOEPLITZ-OPERATORS ON BERGMAN SPACES [J].