Toeplitz Operators with Unbounded Symbols on Segal-Bargmann Space

被引：2
|
作者：
Li HE [1 ]
Guangfu CAO [1 ]
机构：
[1] Department of Mathematics,Guangzhou University
来源：
JournalofMathematicalResearchwithApplications | 2015年 / 35卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Segal-Bargmann space; Toeplitz operator; unbounded function; Schatten class;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper,we construct a function φ in L2(Cn,d Vα) which is unbounded on any neighborhood of each point in Cnsuch that Tφ is a trace class operator on the SegalBargmann space H2(Cn,d Vα).In addition,we also characterize the Schatten p-class Toeplitz operators with positive measure symbols on H2(Cn,d Vα).
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页码：237 / 255
页数：19
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