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