Composition Operators on Hardy-Orlicz Spaces

被引：51
|
作者：
Lefevre, Pascal
Li, Daniel
Queffelec, Herve
Rodriguez-Piazza, Luis
机构：
来源：
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 207卷 / 974期
关键词：
Bergman-Orlicz space; Carleson measure; composition operator; Hardy-Orlicz space; COMPACT COMPOSITION OPERATORS; BOUNDED MEAN-OSCILLATION; DIRICHLET SERIES; NORMS; DUALITY;
D O I：
10.1090/S0065-9266-10-00580-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Psi grows rapidly: compactness, weak compactness, to be p-summing, order bounded, ..., and show how these notions behave according to the growth of Psi. We introduce an adapted version of Carleson measure. We construct various examples showing that our results are essentially sharp. In the last part, we study the case of Bergman-Orlicz spaces.
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页码：1 / +
页数：75
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