Compact Toeplitz operators on the Segal-Bargmann space

被引:3
|
作者
Isralowitz, Josh [1 ]
机构
[1] SUNY Buffalo, Dept Math, Buffalo, NY 14226 USA
关键词
Compact operator; Toeplitz operator; Segal-Bargmann space; BEREZIN TRANSFORM;
D O I
10.1016/j.jmaa.2010.08.066
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note, we show that Miao and Zheng's characterization of compact operators on the Bergman space of the unit disk that are finite sums of finite products of Toeplitz operators (with each one of the symbols belonging to BT) also holds for the Segal-Bargmann space of C(n). (C) 2010 Published by Elsevier Inc.
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收藏
页码:554 / 557
页数:4
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