COMPACT COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES ON BOUNDED SYMMETRIC DOMAINS  

作　　者：吕小芬 胡璋剑 

机构地区：[1]Department of Mathematics, Huzhou Teachers College

出　　处：《Acta Mathematica Scientia》2011年第2期468-476,共9页数学物理学报（B辑英文版）

基　　金：Supported by the National Natural Science Foundation of China (10771064);Natural Science Foundation of Zhejiang Province (Y7080197, Y6090036, Y6100219);Foundation of Creative Group in Colleges and Universities of Zhejiang Province (T200924);Foundation of Department of Education of Zhejiang province (20070482)

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 symmetricdomain Ω and verify that Cφ is compact on Lqa（Ω,dvβ）if and only if K（φ（z）,φ（z））/K（z,z）→0 as z→ Ω under a mild condition,where K（z,w）is the Bergman kernel.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 symmetricdomain Ω and verify that Cφ is compact on Lqa（Ω,dvβ）if and only if K（φ（z）,φ（z））/K（z,z）→0 as z→ Ω under a mild condition,where K（z,w）is the Bergman kernel.

关 键 词：Composition operator weighted Bergman space bounded symmetric do-mains 

分 类 号：O177[理学—数学]