Compact Operators on Bergman Spaces

被引：0

作者：

Jie Miao

Dechao Zheng

机构：

[1] State University,Department of Computer Science and Mathematics

[2] Vanderbilt University,Department of Mathematics

来源：

Integral Equations and Operator Theory | 2004年 / 48卷

关键词：

Primary: 47B35; Secondary: 46E15; Toeplitz operator; compact operator; Beresin transform;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that a bounded operator S on Lap for p > 1 is compact if and only if the Berezin transform of S vanishes on the boundary of the unit disk if S satisfies some integrable conditions. Some estimates about the norm and essential norm of Toeplitz operators with symbols in BT are obtained.

引用

页码：61 / 79

页数：18