Two-parameter martingale Orlicz-Hardy spaces

被引：1
|
作者：
Lu, J-Zh [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410075, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2022年 / 166卷 / 01期
关键词：
two-parameter martingale; Orlicz-Hardy space; martingale inequality; dual space; INTERPOLATION;
D O I：
10.1007/s10474-021-01201-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce Orlicz-Hardy spaces for two-parameter martingales, and establish some new martingale inequalities by use of the atomic decompositions. We also characterize the dual spaces of martingale Orlicz-Hardy spaces in two-parameter case as the generalized martingale Lipschitz spaces.
引用
收藏
页码：30 / 47
页数：18
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