BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES

CSpace

	BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES
其他题名	BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES
	Liu PD(刘培德)1; Long RL(龙瑞麟)2
	1992
发表期刊	数学年刊：B辑英文版
ISSN	0252-9599
卷号	000 期号:002 页码:167-179
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.
其他摘要	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.
关键词	operators boundedness valued sharp establishing smoothness martingale Holder proof Walsh
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:167646
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54924
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. BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES[J]. 数学年刊：B辑英文版,1992,000(002):167-179.
APA	刘培德,&龙瑞麟.(1992).BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES.数学年刊：B辑英文版,000(002),167-179.
MLA	刘培德,et al."BOUNDEDNESS OF SEVERAL OPERATORS ON MARTINGALE SPACES AND THE GEOMETRY OF BANACH SPACES".数学年刊：B辑英文版 000.002(1992):167-179.