Composition Operators on Hardy-Orlicz Spaces on the Ball

被引：10

作者：

Charpentier, Stephane ^{[1
]}

机构：

[1] Univ Paris 11, Dept Math, F-91405 Orsay, France

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2011年 / 70卷 / 03期

关键词：

Carleson measure; composition operator; Hardy-Orlicz space; COMPACT COMPOSITION OPERATORS; BERGMAN SPACES;

D O I：

10.1007/s00020-011-1870-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give embedding theorems for Hardy-Orlicz spaces on the ball and then apply our results to the study of the boundedness and compactness of composition operators in this context. As one of the motivations of this work, we show that there exist some Hardy-Orlicz spaces, different from H (a), on which every composition operator is bounded.

引用

页码：429 / 450

页数：22

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[10] Composition Operators on Hardy-Orlicz Spaces [J].

Lefevre, Pascal ;

Li, Daniel ;

Queffelec, Herve ;

Rodriguez-Piazza, Luis .

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 207 (974) :1-+

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