Noncommutative weak Orlicz spaces and martingale inequalities

被引：15

作者：

Bekjan, Turdebek N. ^{[1
]}

Chen, Zeqian ^{[3
]}

Liu, Peide ^{[2
]}

Jiao, Yong ^{[4
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[3] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[4] Cent S Univ, Inst Probabil & Stat, Changsha 410075, Hunan, Peoples R China

来源：

STUDIA MATHEMATICA | 2011年 / 204卷 / 03期

关键词：

von Neumann algebra; noncommutative L-p space; noncommutative weak Orlicz space; noncommutative martingale; weak type Phi-moment inequality; KHINTCHINE INEQUALITIES; MEASURABLE OPERATORS; EXTRAPOLATION;

D O I：

10.4064/sm204-3-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of noncommutative weak Orlicz spaces and martingale inequalities. The Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. As an application, we prove the weak type Phi-moment Burkholder-Gundy inequality for noncommutative martingales through establishing a weak type Phi-moment noncommutative Khinchin inequality for Rademacher random variables.

引用

页码：195 / 212

页数：18

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