✦ LIBER ✦

Weighted inequalities in martingale spaces

✍ Scribed by Wei Chen; Peide Liu

Book ID: 107531462
Publisher: Wuhan University
Year: 2010
Tongue: English
Weight: 317 KB
Volume: 15
Category: Article
ISSN: 1007-1202
DOI: 10.1007/s11859-010-0101-4

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## Abstract For 1 < __p__ < ∞, the almost surely finiteness of $ E \left(v ^{- {p^{\prime} \over p}} \vert {\cal F}\_{1} \right) $ is a necessary and sufficient condition in order to have almost surely convergence of the sequences {__E__(__f__|ℱ~__n__~)} with __f__ ∈ __L__^__p__^(__v dP__). This co