Toeplitz and Hankel Products on Bergman Spaces of the Unit Ball

被引：0
|
作者：
Yufeng LU Chaomei LIU School of Mathematical Sciences
机构：
来源：
Chinese Annals of Mathematics | 2009年 / 30卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Weighted Bergman space; Unit ball; Toeplitz operator; Hankel operator; Berezin transform;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
The authors give some new necessary conditions for the boundedness of Toeplitz products T_f~α T_■~α on the weighted Bergman space A_α~2 of the unit ball,where f and g are analytic on the unit ball.Hankel products H_fH_g~* on the weighted Bergman space of the unit ball are studied,and the results analogous to those Stroethoff and Zheng obtained in the setting of unit disk are proved.
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页码：293 / 310
页数：18
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