ZERO, FINITE RANK, AND COMPACT BIG TRUNCATED HANKEL OPERATORS ON MODEL SPACES

被引：9

作者：

Ma, Pan ^{[1
]}

Yan, Fugang ^{[2
]}

Zheng, Dechao ^{[3
,4
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Chongqing Univ, Sch Math & Stat, Chongqing 401331, Peoples R China

[3] Chongqing Univ, Ctr Math, Chongqing 401331, Peoples R China

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 12期

关键词：

Hardy space; Hankel operator; Model spaces; Big truncated Hankel operator; TOEPLITZ-OPERATORS; POLYDISK; PRODUCTS; THEOREM; TERMS;

D O I：

10.1090/proc/14179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain sufficient and necessary conditions for big truncated Hankel operators on model spaces to be zero, or of finite rank or compact. Our main tools are the properties of Hardy Hankel operators and function algebras.

引用

页码：5235 / 5242

页数：8

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