boundednessofseveraloperatorsonmartingalespacesandthegeometryofbanachspaces

CSpace

	boundednessofseveraloperatorsonmartingalespacesandthegeometryofbanachspaces
	Liu PD(刘培德)1; Long RL(龙瑞麟)2
	1992
发表期刊	chineseannalsofmathematicsseriesb
ISSN	0252-9599
卷号	000 期号:002 页码:167
摘要	The aim of this paper is establishing some inequalities of several operators on Banach-space-valued martingales and using them to give some characterizations of geometrical properties of Banach spaces. In particular, the Φ-function nequalitities of sharp operators f_p~#, f_p~#, p-variation operators W_p, W_p and the martingale tranform operator T_v are discussed. It is proved that the boundedness of these operators characterizes the smoothness, convexity and UMD-property of Banach spaces.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/41075
专题	中国科学院数学与系统科学研究院
作者单位	1.武汉大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Liu PD,Long RL. boundednessofseveraloperatorsonmartingalespacesandthegeometryofbanachspaces[J]. chineseannalsofmathematicsseriesb,1992,000(002):167.
APA	刘培德,&龙瑞麟.(1992).boundednessofseveraloperatorsonmartingalespacesandthegeometryofbanachspaces.chineseannalsofmathematicsseriesb,000(002),167.
MLA	刘培德,et al."boundednessofseveraloperatorsonmartingalespacesandthegeometryofbanachspaces".chineseannalsofmathematicsseriesb 000.002(1992):167.