Dual spaces of weak Orlicz-Hardy spaces for vector-valued martingales

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:437

Article

Yu, Lin¹ 

[1] China Three Gorges Univ, Sch Sci, Yichang 443002, Hubei, Peoples R China

关键词: Weak Orlicz-Hardy spaces;    Dual spaces;    Atomic decompositions;    Banach space-valued martingales;   

DOI  :  10.1016/j.jmaa.2015.12.048

来源: Elsevier

【 摘 要 】

The dual spaces of weak Orlicz-Hardy spaces for B-valued martingales, which are defined by quasi-concave functions, are identified. To obtain the results, the so-called weak-type generalized Campanato spaces are introduced and the classical technique of atomic decompositions is employed. The results obtained here extend the corresponding known results in the literature from real-valued setting to vector-valued setting and from strong-type spaces to weak-type spaces. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free