COMPACTNESS OF HANKEL OPERATORS ON HARDY-SOBOLEV SPACES OF THE POLYDISK

被引：1

作者：

Ahern, Patrick ^{[1
]}

Youssfi, El Hassan ^{[3
]}

Zhu, Kehe ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53705 USA

[2] SUNY Albany, Dept Math, Albany, NY 12222 USA

[3] Univ Aix Marseille 1, CNRS, LATP, CMI,UMR 6632, F-13453 Marseille 13, France

来源：

JOURNAL OF OPERATOR THEORY | 2009年 / 61卷 / 02期

基金：

美国国家科学基金会;

关键词：

Hankel operators; Hardy spaces; polydisk; DIRICHLET TYPE SPACES; CARLESON MEASURES; MULTIPLIERS; BMO;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a big Hankel operator defined on certain Hardy-Sobolev spaces of the polydisk D-n, n > 1, cannot be compact unless it is the zero operator. This result was obtained by Cotlar and Sadosky in 1993 for the classical Hardy space, but our approach here is much different and our result is more general.

引用

收藏

页码：301 / 312

页数：12

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