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

• 作 者: Kan ZHANG Yufeng LU
• 机 构: SchoolofMathematicalSciences,CollegeofSciences
• 出 处: 数学研究及应用：英文版
• 发表日期: 2012年4期
• 关键词: 加权BERGMAN空间 Toeplitz算子 单位球 产品 全纯函数 平方可积 充分条件 lm型 Toeplitz operator Bergman space
• 基金项目: Supported by the National Natural Science Foundation of China （Grant No. 10971020）,Doctoral Fund of Ministry of Education of China （RFDP）

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 suffici