ZERO PRODUCTS OF TOEPLITZ OPERATORS

被引：23

作者：

Aleman, Alexandru ^{[1
]}

Vukotic, Dragan ^{[2
,3
]}

机构：

[1] Lund Univ, Dept Math, S-22100 Lund, Sweden

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[3] Univ Autonoma Madrid, CSIC, ICMAT, UC3M,UCM, E-28049 Madrid, Spain

来源：

DUKE MATHEMATICAL JOURNAL | 2009年 / 148卷 / 03期

关键词：

D O I：

10.1215/00127094-2009-029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the product of finitely many Toeplitz operators oil the Hardy space is zero if and only if at least one of the operators is zero. We use some new vector-valued techniques that not only lead to a vector-valued version of this result but also appear to be needed in the scalar case.

引用

页码：373 / 403

页数：31

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