Bounded Toeplitz products on Bergman spaces of the unit ball

被引：20

作者：

Stroethoff, Karel ^{[1
]}

Zheng, Dechao

机构：

[1] Univ Montana, Dept Math Sci, Missoula, MT 59812 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 01期

基金：

美国国家科学基金会;

关键词：

Toeplitz operator; Bergman spaces; unit ball;

D O I：

10.1016/j.jmaa.2006.01.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the question for which square integrable analytic functions f and g on the unit ball the densely defined products T-f T ((g)) over bar are bounded on the weighted Bergman spaces. We prove results analogous to those we obtained in the setting of the unit disk and the polydisk. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：114 / 129

页数：16

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