Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces

被引：3

作者：

Choi, Eun Sun ^{[1
]}

Na, Kyunguk ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136701, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 327卷 / 01期

关键词：

Toeplitz operator; Schatten-Herz type; pluriharmonic Bergman space;

D O I：

10.1016/j.jmaa.2006.04.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Schatten-Herz type Toeplitz operators have been studied on the Bergman spaces and the harmonic Bergman spaces. Motivated these results, we study characterizations of positive Toeplitz operators of Schatten-Herz type in terms of averaging functions and Berezin transforms of symbol functions on the ball of pluriharmonic Bergman spaces. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：679 / 694

页数：16

共 50 条

[31] Positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain
Yamaji, Satoshi
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2013, 65 (04) : 1101 - 1115
[32] Compact Toeplitz operators on parabolic Bergman spaces
Nishio, Masaharu
Suzuki, Noriaki
Yamada, Masahiro
HIROSHIMA MATHEMATICAL JOURNAL, 2008, 38 (02) : 177 - 192
[33] Toeplitz operators between distinct Bergman spaces
Siyu Wang
Zipeng Wang
Science China Mathematics, 2022, 65 : 2325 - 2336
[34] TOEPLITZ OPERATORS WITH DISTRIBUTIONAL SYMBOLS ON BERGMAN SPACES
Perala, Antti
Taskinen, Jari
Virtanen, Jani
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2011, 54 : 505 - 514
[35] TOEPLITZ OPERATORS ON BERGMAN SPACES OF POLYGONAL DOMAINS
Mannersalo, Paula
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2019, 62 (04) : 1115 - 1136
[36] On Fredholm properties of Toeplitz operators in Bergman spaces
Taskinen, Jari
Virtanen, Jani
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (16) : 9405 - 9415
[37] Toeplitz operators on Bergman spaces and Hardy multipliers
Lusky, Wolfgang
Taskinen, Jari
STUDIA MATHEMATICA, 2011, 204 (02) : 137 - 154
[38] Toeplitz operators between Bergman–Orlicz spaces
Min Dong
Yongjiang Duan
Siyu Wang
Annals of Functional Analysis, 2023, 14
[39] Complex symmetric Toeplitz operators on the Hardy spaces and Bergman spaces
Hu, Xiaohe
Wang, Cui
Xu, Zhiyuan
ANNALS OF FUNCTIONAL ANALYSIS, 2024, 15 (03)
[40] Toeplitz operators and Herz spaces on the half-space
Choe, Boo Rim
Nam, Kyesook
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 59 (04) : 501 - 521

← 1 2 3 4 5 →