Beurling type theorem on the Bergman space via the Hardy space of the bidisk  

作　　者：SUN ShunHua ZHENG DeChao 

机构地区：[1]Institute of Mathematics,Jiaxing University,Jiaxing 314001,China [2]Department of Mathematics,Vanderbilt University,Nashville,TN 37240,USA

出　　处：《Science China Mathematics》2009年第11期2517-2529,共13页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10871083);National Science Foundation of USA (Grant No. 0457285)

摘　　要：In this paper,by lifting the Bergman shift as the compression of an isometry on a subspace of the Hardy space of the bidisk,we give a proof of the Beurling type theorem on the Bergman space of Aleman,Richter and Sundberg(1996) via the Hardy space of the bidisk.In this paper, by lifting the Bergman shift as the compression of an isometry on a subspace of the Hardy space of the bidisk, we give a proof of the Beurling type theorem on the Bergman space of Aleman, Richter and Sundberg (1996) via the Hardy space of the bidisk.

关 键 词：Bergman space Bergman shift invariant subspaces Hardy space 47B35 30D50 46E20 

分 类 号：O177[理学—数学]