Boundedness and Compactness of Operators on the Fock Space

被引：0
作者：
Xiaofeng Wang
Guangfu Cao
Kehe Zhu
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] State University of New York,Department of Mathematics and Statistics
来源：
Integral Equations and Operator Theory | 2013年 / 77卷
关键词：
Primary 30H20; 47B38; Secondary 47B35; 47B07; Fock space; Bergman space; Toeplitz operator; Berezin transform; Gaussian measure; Hilbert–Schmidt operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain sufficient conditions for a densely-defined operator on the Fock space to be bounded or compact. Under the boundedness condition we then characterize the compactness of the operator in terms of its Berezin transform.
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页码：355 / 370
页数：15
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