A Remark on John-Nirenberg Theorem for Martingales

被引：1
作者：
Li, L. [1 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Hunan Sheng, Peoples R China
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2019年 / 70卷 / 11期
关键词：
INEQUALITIES; SPACES;
D O I：
10.1007/s11253-019-01609-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is mainly devoted to establishing an extension of the John-Nirenberg theorem for martingales. More precisely, let 1 < p < infinity and 0 < q < infinity. If the stochastic basis (F-n)(n >= 0) is regular, then BMOp,q = BMO1 with the equivalent norms. Our method is to use a new atomic decomposition construction of the martingale Hardy space.
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页码：1812 / 1820
页数：9
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