Multipliers in Hardy-Sobolev spaces

被引：29

作者：

Ortega, Joaquin M. ^{[1
]}

Fabrega, Joan ^{[1
]}

机构：

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, Barcelona 08007, Spain

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2006年 / 55卷 / 04期

关键词：

holomorphic Hardy-Sobolev spaces; tent spaces; Carleson measures; pointwise multipliers; corona problem;

D O I：

10.1007/s00020-005-1403-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For 1 < p < infinity and 0 <= n - sp < 1, we give characterizations of the space of pointwise multipliers of the holomorphic Hardy-Sobolev spaces H-s(p) on the unit ball B of C-n. As an application of these results we obtain a corona theorem for these spaces.

引用

页码：535 / 560

页数：26

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