有界多连通域的Schatten类Toeplitz算子  

SCHATTEN CLASS TOEPLITZ OPERATORS OF BOUNDED MULTI-CONNECTED DOMAIN

作　　者：于涛[1] 

机构地区：[1]浙江师范大学数学系,浙江金华321004

出　　处：《数学年刊（A辑）》2005年第3期361-368,共8页Chinese Annals of Mathematics

基　　金：浙江省教育厅科研基金(N0.20040850);高校青年教师研究计划资助的项目.

摘　　要：本文讨论了多连通域的Bergman空间上的以正测度为符号的Toeplitz算子.用符号测度的Berezin 变换和平均函数刻画了Toeplitz算子为Schatten类算子的充要条件.In this paper, Toeplitz operators with positive measure symbols on the Bergman spaces of multi-connected domains are discussed. Using Berezin transform and the average function of the symbol measure, the author gives some nessecery and sufficient condition under which Toeplitz operator is in Schatten class.

关 键 词：多连通域 BERGMAN空间 Toeplitz算子  BEREZIN变换 平均函数 SCHATTEN类 

分 类 号：O177.2[理学—数学]