Orlicz-Hardy Weak Martingale Spaces for Two-parameter

被引：1

作者：

Liu, Kaituo ^{[1
]}

Lu, Jianzhong ^{[2
]}

Wu, Jun ^{[1
]}

Yue, Tian ^{[1
]}

机构：

[1] HuBei Univ Automot Technol, Sch Math Phys & Optoelect Engn, Shiyan 442002, Peoples R China

[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2023年 / 27卷 / 03期

关键词：

two-parameter martingale; weak Orlicz-Hardy space; atomic decomposition; dual space; INTERPOLATION;

D O I：

10.11650/tjm/230101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate several two-parameter weak Orlicz-Hardy martingale spaces generated by the p-convex and q-concave functions, and establish their atomic decomposition theorems. Using the atomic decomposition, we obtain a sufficient condition for the boundedness of a sublinear operator defined on the two-parameter weak Orlicz-Hardy martingale spaces. Furthermore, the dual spaces of the two-parameter weak Orlicz-Hardy martingale spaces are considered.

引用

页码：553 / 576

页数：24

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