Article ID Journal Published Year Pages File Type
1154242 Statistics & Probability Letters 2009 4 Pages PDF
Abstract

In this paper, we show some orlicz-norm inequalities for martingales, which are ΦΦ-extensions of some classical inequalities in martingale HpHp theory. As applications, a new simple proof of Burkholder–Davis–Gundy inequality in Orlicz-norm form is shown, and the equivalence between Orlicz martingale spaces PΦPΦ and QΦQΦ is obtained.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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