Averaging Operators and Martingale Inequalities in Rearrangement Invariant Function Spaces

Canadian mathematical bulletin

关键词: martingale inequalities;    rearrangement invariant function spaces;   

DOI  :  10.4153/CMB-1999-038-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We shall study some connection between averaging operators andmartingale inequalities in rearrangement invariant function spaces.In Section~2 the equivalence between Shimogaki's theorem and somemartingale inequalities will be established, and in Section~3 theequivalence between Boyd's theorem and martingale inequalities withchange of probability measure will be established.

【 授权许可】

Unknown