Weak Orlicz space and its applications to the martingale theory
Weak Orlicz space and its applications to the martingale theory作者机构：School of Mathematics and Statistics Wuhan University Wuhan China
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2010年第53卷第4期
页 面：905-916页
核心收录：
学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学]
基 金：supported by National Natural Science Foundation of China (Grant No.10671147)
主 题：weak Orlicz space maximal function martingale space martingale inequality
摘 要：In this paper,the weak Orlicz space wL Φ is introduced and its applications to the martingale theory are *** particular,a series of martingale inequalities including the maximal function inequality in weak Orlicz spaces are established;the relationships between these spaces are ***,the boundedness of several sublinear operators from one weak Orlicz space to another is proved;their vector-valued analogues are also considered.
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