On a vector-valued Hopf-Dunford-Schwartz lemma

被引：3
|
作者：
Charpentier, S. [1 ]
Deleaval, L. [2 ]
机构：
[1] Univ Lille 1, UMR 8524, Lab Paul Painleve, F-59650 Villeneuve Dascq, France
[2] Univ Paris 06, Inst Math Jussieu, F-75005 Paris, France
来源：
POSITIVITY | 2013年 / 17卷 / 03期
关键词：
Maximal ergodic theorem; Semi-group; Dunkl analysis; DUNKL OPERATORS; MAXIMAL INEQUALITIES; TRANSFORM; THEOREM; SPACES;
D O I：
10.1007/s11117-012-0211-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we state as a conjecture a vector-valued Hopf-Dunford-Schwartz lemma and give a partial answer to it. As an application of this powerful result, we prove some Fefferman-Stein inequalities in the setting of Dunkl analysis where covering methods are not available.
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页码：899 / 910
页数：12
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