FINITE RANK COMMUTATOR OF TOEPLITZ OPERATORS OR HANKEL OPERATORS

被引：0

作者：

Ding, Xuanhao ^{[1
]}

Zheng, Dechao ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Sci, Chongqing 400067, Peoples R China

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

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2008年 / 34卷 / 04期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Finite rank; commutator; Hankel operator; Toeplitz operator and Hardy space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we completely characterize when the commutator of two Toeplitz operators or two Hankel operators on the Hardy space has finite rank.

引用

页码：1099 / 1119

页数：21

共 9 条

[1]

AXLER S, 1978, INTEGR EQUAT OPER TH, V1, P285

[2]

Brown A., 1964, Journal Fur die Reine und Angewandte Mathematik, V213, P89

[3]

Chen XM, 2005, J REINE ANGEW MATH, V578, P1

[4]

Garnett J.B., 1981, BOUNDED ANAL FUNCTIO

[5] Essentially commuting Toeplitz operators [J].

Gorkin, P ;

Zheng, DC .

[6] Products of block Toeplitz operators [J].

Gu, CX ;

Zheng, DC .

[7]

Peller V.V., 2003, SPRINGER MG MATH, DOI 10.1007/978-0-387-21681-2

[8]

Richman D., 1982, INTEGR EQUAT OPER TH, V5, P892

[9]

VOLBERG A, 1987, DOKL AKAD NAUK UKR A, V4, P3