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- W1010489114 abstract "Let $X$ be a Banach function space over a nonatomic probability space. For a uniformly integrable martingale $f=(f_n)$ with respect to a filtration ${mathcal F}=({mathcal F}_n)$, let $Mf =sup_n |f_n|$ and $theta_{mathcal F}f=sup_n E[|f_{infty}- f_{n-1}| mid{mathcal F}_n]$. We give a necessary and sufficient condition on $X$ for the inequality $parallel theta_{mathcal F}f parallel_X leq Cparallel Mfparallel_X$ to hold." @default.
- W1010489114 created "2016-06-24" @default.
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- W1010489114 date "2011-12-01" @default.
- W1010489114 modified "2023-09-26" @default.
- W1010489114 title "On certain martingale inequalities for maximal functions and mean oscillations" @default.
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- W1010489114 doi "https://doi.org/10.7146/math.scand.a-15191" @default.
- W1010489114 hasPublicationYear "2011" @default.
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