Weak Orlicz space and its applications to the martingale theory

查看全文 作　　者：LIU PeiDe,HOU YouLiang & WANG MaoFa School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China

出　　处：《Science China Mathematics》索引2010年第53卷第4期,共12页

基　　金：supported by National Natural Science Foundation of China (Grant No.10671147) 摘　　要：In this paper,the weak Orlicz space wL Φ is introduced and its applications to the martingale theory are discussed.In particular,a series of martingale inequalities including the maximal function inequality in weak Orlicz spaces are established;the relationships between these spaces are investigated.Moreover,the boundedness of several sublinear operators from one weak Orlicz space to another is proved;their vector-valued analogues are also considered. 关键词：WEAK ORLICZ SPACE MAXIMAL function MARTINGALE SPACE MARTINGALE INEQUALITY

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Weak Orlicz space and its applications to the martingale theory

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