Maximal function on generalized martingale Lebesgue spaces with variable exponent

被引：32

作者：

Nakai, Eiichi ^{[1
]}

Sadasue, Gaku ^{[2
]}

机构：

[1] Ibaraki Univ, Dept Math, Mito, Ibaraki 3108512, Japan

[2] Osaka Kyoiku Univ, Dept Math, Kashiwara, Osaka 5828582, Japan

来源：

STATISTICS & PROBABILITY LETTERS | 2013年 / 83卷 / 10期

基金：

日本学术振兴会;

关键词：

Martingale; Maximal function; Lebesgue space with variable exponent; Bounded mean oscillation; Pointwise multiplier; L-P SPACES;

D O I：

10.1016/j.spl.2013.06.007

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove the boundedness of the maximal operator for martingales on generalized Lebesgue spaces with variable exponent over probability spaces. We consider pointwise multipliers on martingale BMO as the variable exponent. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：2168 / 2171

页数：4

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