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.

引用

页码：293 / 310

页数：18

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