Toeplitz and Hankel Products on Bergman Spaces of the Unit Ball

被引：4
作者：
Lu, Yufeng [1 ]
Liu, Chaomei [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 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; OPERATORS;
D O I：
10.1007/s11401-007-0492-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors give some new necessary conditions for the boundedness of Toeplitz products (TfT(g) over bar alpha)-T-alpha on the weighted Bergman space A(alpha)(2) of the unit ball, where f and g are analytic on the unit ball. Hankel products HfHg* 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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