PRODUCTS OF TOEPLITZ OPERATORS ON THE HARMONIC BERGMAN SPACE

被引：0
|
作者：
Dong, Xing-Tang [1 ]
Zhou, Ze-Hua [1 ]
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Toeplitz operators; harmonic Bergman space; quasihomogeneous symbols; TRANSFORM; SYMBOLS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first discuss some basic results concerning Toeplitz operators with quasihomogeneous symbols (i.e., symbols being of the form e(ip theta) phi, where phi is a radial function) on the harmonic Bergman space. Then we determine when the product of two Toeplitz operators with quasihomogeneous symbols is a Toeplitz operator.
引用
收藏
页码：1765 / 1773
页数：9
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