COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACES

被引：6

作者：

Tong, Ce-Zhong ^{[1
]}

Zhou, Ze-Hua ^{[2
]}

机构：

[1] Hebei Univ Technol, Dept Math, Tianjin 300401, Peoples R China

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

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 01期

基金：

中国国家自然科学基金;

关键词：

composition operator; integral-type operator; Bloch space; Bergman space; intertwining relation; essential commutativity; universal set;

D O I：

10.4134/JKMS.2014.51.1.125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.

引用

页码：125 / 135

页数：11

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