Dual spaces for variable martingale Lorentz-Hardy spaces

被引：11

作者：

Jiao, Yong ^{[1
]}

Weisz, Ferenc ^{[2
]}

Wu, Lian ^{[1
]}

Zhou, Dejian ^{[1
]}

机构：

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

[2] Eotvos Lorand Univ, Dept Numer Anal, Pazmany P Setany 1-C, H-1117 Budapest, Hungary

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2021年 / 15卷 / 03期

关键词：

Variable martingales; Martingale Hardy spaces; Dualities; John-Nirenberg theorems; LEBESGUE SPACES; INEQUALITIES;

D O I：

10.1007/s43037-021-00139-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Hp(),q be the variable Lorentz-Hardy martingale spaces. In this paper, we give a new atomic decomposition for these spaces via simple Lr-atoms (1<r <=infinity). Using this atomic decomposition, we consider the dual spaces of variable Lorentz-Hardy spaces Hp(),q for the case 0<p()<= 1, 0<q <= 1, and 0<p()<2, 1<q<infinity respectively, and prove that they are equivalent to the BMO spaces with variable exponent. Furthermore, we also obtain several John-Nirenberg theorems based on the dual results.

引用

页数：31

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