Weak Orlicz-Hardy martingale spaces

被引：26

作者：

Jiao, Yong ^{[1
,2
]}

Wu, Lian ^{[2
]}

Peng, Lihua ^{[2
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410085, Hunan, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410085, Hunan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 08期

关键词：

Martingales; weak Orlicz-Hardy space; atomic decompositions; dualities; John-Nirenberg inequalities; INEQUALITIES; INTERPOLATION;

D O I：

10.1142/S0129167X15500627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established. With the help of weak atomic decompositions, a sufficient condition for a sublinear operator defined on the weak Orlicz-Hardy martingale spaces to be bounded is given. Further, we investigate the duality of weak Orlicz-Hardy martingale spaces and obtain a new John-Nirenberg type inequality when the stochastic basis is regular. These results can be regarded as weak versions of the Orlicz-Hardy martingale spaces due to Miyamoto, Nakai and Sadasue.

引用

页数：26

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