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

页码：1765 / 1773

页数：9