Schatten-Herz Classes of Toeplitz Operators on the Generalized Fock Space

被引：0

作者：

Lv, Xiaofen ^{[1
]}

Hu, Zhangjian ^{[1
]}

机构：

[1] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operator; Schatten-Herz class; Fock space; Kahler form;

D O I：

10.1007/s11785-016-0541-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be the generalized Fock space defined as where is some fixed weight function satisfying . Given and , as an extension of Schatten class Toeplitz operators we introduce the concept of Schatten-Herz class Toeplitz operators on . We also characterize those positive Borel measures on for which the induced Toeplitz operators belong to S-p,S- q.

引用

页码：1269 / 1282

页数：14

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