单位球Bergman空间上的Toeplitz积  

Toeplitz products on the Bergman space of the unit ball

作　　者：陈泳[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2009年第1期18-23,共6页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江师范大学青年基金资助项目(KYJ05Y04260)

摘　　要：研究了单位球Bergman空间上稠定Toeplitz积TfTg的有界性和紧性,其中符号f和g为平方可积解析函数.利用分析的技巧给出一些估计,并得到了TfTg有界的充分或必要条件和TfTg紧的充要条件.The boundedness and compactness of densely defined products TfTg- were studied where f and g were square integral analytic functions on the unit ball. By using the anlysis skill, some estimates were given and the sufficiency or nessesity condition was obtained for boundedness or compactness of TfTg-.

关 键 词：TOEPLITZ算子 Toeplitz积 单位球 BERGMAN空间 

分 类 号：O177[理学—数学]