Positive Schatten(-Herz) Class Toeplitz Operators on the Half-space

被引：0

作者：

Boo Rim Choe

Hyungwoon Koo

Young Joo Lee

机构：

[1] Korea University,Department of Mathematics

[2] Chonnam National University,Department of Mathematics

来源：

Potential Analysis | 2007年 / 27卷

关键词：

Toeplitz operator; Harmonic Bergman space; Schatten class; Schatten-Herz class; Primary 47B35; Secondary 31B05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.

引用

页码：73 / 100

页数：27

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