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：
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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.
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页码：61 / 79
页数：18
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