MARTINGALE HARDY SPACES BASED ON QUASI-BANACH FUNCTION LATTICES

被引：0
|
作者：
Sawano, Yoshihiro [1 ]
机构：
[1] Chuo Univ, Dept Math, Bunkyo Ku, Tokyo 1128551, Japan
来源：
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2023年 / 177卷 / 02期
关键词：
Banach function lattice; Martingale; Hardy space; Doob inequality; Vector-valued; INEQUALITIES; TRANSFORMS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers the atomic decomposition in martingale Hardy spaces generated by quasi-Banach function lattices. The results in this paper unify and extend the existing ones. Based on the Doob inequality, we make the paper self-contained except for weighted inequalities of martingale transforms. We obtain the vector-valued Doob maximal inequality for a large class of Banach function lattices over probability spaces as a by-pro duct.
引用
收藏
页码：259 / 273
页数：15
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