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

作　　者：Kan ZHANG Yufeng LU 

机构地区：[1]SchoolofMathematicalSciences,DalianUniversityofTechnology,Liaoning116024,P.R.China [2]CollegeofSciences,ShenyangAgriculturalUniversity,Liaoning110866,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2012年第4期439-449,共11页数学研究及应用（英文版）

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

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 ball.We furthermore obtain necessary and sufficient conditions for bounded Haplitz products HfTg-,where f∈L2（Bn,dvα） and g is a square integrable holomorphic function.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 ball.We furthermore obtain necessary and sufficient conditions for bounded Haplitz products HfTg-,where f∈L2（Bn,dvα） and g is a square integrable holomorphic function.

关 键 词：Toeplitz operator Bergman space unit ball Hankel operator. 

分 类 号：O177.1[理学—数学] O177.3[理学—基础数学]