Products of Toeplitz Operator on the Weighted Bergman Space of the Unit Ball

作     者：Kan ZHANG 1,2,Yufeng LU 1, 1.School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China 2.College of Sciences,Shenyang Agricultural University,Liaoning 110866,P.R.China 

作者机构：School of Mathematical SciencesDalian University of Technology Liaoning 116024 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2012年第32卷第4期

页      面：439-449页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10971020) Doctoral Fund of Ministry of Education of China (RFDP) 

主　　题：Toeplitz operator Bergman space unit ball Hankel operator. 

摘      要：We consider the question for what kind of square integrable holomorphic functions f,g on the unit ball the densely defined products TfTg-are invertible and Fredholm on the weighted Bergman space of the unit *** furthermore obtain necessary and sufficient conditions for bounded Haplitz products HfTg-,where f∈L2(Bn,dvα) and g is a square integrable holomorphic function.