Essential Norms of Weighted Composition Operators from Weighted Bergman Space to Mixed-norm Space on the Unit Ball

被引：5

作者：

Zhou, Ze Hua ^{[1
]}

Liang, Yu Xia ^{[1
]}

Zeng, Hong Gang ^{[1
]}

机构：

[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Weighted composition operator; weighted Bergman space; mixed-norm space; essential norm; compact; EXTENDED CESARO OPERATORS; INTEGRAL-TYPE OPERATORS; BLOCH-TYPE SPACES;

D O I：

10.1007/s10114-012-0588-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we characterize the boundedness and compactness of the weighted composition operators from the weighted Bergman space to the standard mixed-norm space or the mixed-norm space with normal weight on the unit ball and estimate the essential norms of the weighted composition operators.

引用

页码：547 / 556

页数：10

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