Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces and application

In this paper, we show two Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces by employing the technique of atomic decompositions. As an application, we prove some martingale inequalities with weak Orlicz space norm.

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Bibliographic Details
Published in:Indagationes mathematicae 2015-03, Vol.26 (2), p.384-392
Main Author: Ren, Yanbo
Format: Article
Language:English
Subjects:
Atomic decomposition
Interpolation
Martingale
Weak Orlicz space
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Description
Summary:In this paper, we show two Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces by employing the technique of atomic decompositions. As an application, we prove some martingale inequalities with weak Orlicz space norm.
ISSN:0019-3577
1872-6100
DOI:10.1016/j.indag.2014.12.002