A necessary and sufficient condition for certain martingale inequalities in Banach function spaces

被引：4

作者：

Kikuchi, Masato ^{[1
]}

机构：

[1] Toyama Univ, Dept Math, Toyama 9308555, Japan

来源：

GLASGOW MATHEMATICAL JOURNAL | 2007年 / 49卷

关键词：

D O I：

10.1017/S0017089507003795

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a Banach function space over a nonatomic probability space. We investigate certain martingale inequalities in X that generalize those studied by A. M. Garsia. We give necessary and sufficient conditions on X for the inequalities to be valid.

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页码：431 / 447

页数：17

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