COMPACT COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ON BOUNDED SYMMETRIC DOMAINS

被引：0

作者：

吕小芬 ^{[1
]}

胡璋剑 ^{[1
]}

机构：

[1] Department of Mathematics, Huzhou Teachers College

来源：

Acta Mathematica Scientia | 2011年 / 31卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Composition operator; weighted Bergman space; bounded symmetric domains;

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 article, we borrow the idea of using Schur’s test to characterize the compactness of composition operators on the weighted Bergman spaces in a bounded symmetric domain Ω, and verify that Cφ is compact on L q a (Ω, dv β ) if and only if K ( φ ( z ) ,φ ( z )) K ( z,z ) → 0 as z →φΩ under a mild condition, where K(z, w) is the Bergman kernel.

引用

页码：468 / 476

页数：9

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