Noncommutative weak Orlicz spaces and martingale inequalities

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	Noncommutative weak Orlicz spaces and martingale inequalities
	Bekjan, Turdebek N.1; Chen, Zeqian 3; Liu, Peide 2; Jiao, Yong 4
刊名	STUDIA MATHEMATICA
	2011
卷号	204 期号:3 页码:195-212
关键词	von Neumann algebra noncommutative L(p) space noncommutative weak Orlicz space noncommutative martingale weak type Phi-moment inequality
产权排序	第三
英文摘要	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.
学科主题	数学
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	KHINTCHINE INEQUALITIES ; MEASURABLE OPERATORS ; EXTRAPOLATION
收录类别	SCI
语种	英语
WOS记录号	WOS:000293111300001
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1881]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	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
推荐引用方式 GB/T 7714	Bekjan, Turdebek N.,Chen, Zeqian,Liu, Peide,et al. Noncommutative weak Orlicz spaces and martingale inequalities[J]. STUDIA MATHEMATICA,2011,204(3):195-212.
APA	Bekjan, Turdebek N.,Chen, Zeqian,Liu, Peide,&Jiao, Yong.(2011).Noncommutative weak Orlicz spaces and martingale inequalities.STUDIA MATHEMATICA,204(3),195-212.
MLA	Bekjan, Turdebek N.,et al."Noncommutative weak Orlicz spaces and martingale inequalities".STUDIA MATHEMATICA 204.3(2011):195-212.