The distribution function inequality for a finite sum of finite products of Toeplitz operators

被引：18
作者：
Guo, KY
Zheng, DC
机构：
[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 218卷 / 01期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
D O I：
10.1016/j.jfa.2004.06.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A generalized area function associated with a finite sum of finite products of Toeplitz; operators is introduced. A distribution function inequality is established for the generalized area function. By using the distribution function inequality, we characterize when a finite sum of finite products of Toeplitz operators on the Hardy space is a compact perturbation of a Toeplitz operator. (C) 2004 Elsevier Inc. All rights reserved.
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页码：1 / 53
页数：53
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