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.
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页码：679 / 694
页数：16
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