Bounded and Compact Toeplitz Operators on the Weighted Bergman Space over the Bidisk

被引：0

作者：

Si Bo DIAO ^{[1
]}

Tao YU ^{[1
]}

机构：

[1] Department of Mathematics,Zhejiang Normal University

来源：

Acta Mathematica Sinica,English Series | 2014年 / 01期

关键词：

Toeplitz operator; weighted Bergman space; Bloch-type space; growth-type space; Car-leson measure;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Forα>1,let dvαdenote the weighted Lebesgue measure on the bidisk andμa complex measure satisfying some Carleson-type conditions.In this paper,we show a sufcient and necessary condition for the Toeplitz operatorTαˉμto be bounded or compact on weighted Bergman spaceL1a(dvα).

引用

页码：151 / 162

页数：12

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