摘要
UMD空间是被广泛研究的一类新型的Banach空间,它具有一系列良好的几何性质与分析性质并且与向量值调和分析、随机分析有着广泛深刻的联系.本文扼要介绍这类空间的有关问题,主要是以下几个方面:①引言(定义与产生背景);②UMD空间的几何特征与分析特征;③此类空间的例;④在向量值调和分析理论中的应用;⑤关于鞅不等式的最优系数问题.
The UMD spaces have been studied extensively in recent years, it is a new class of Banach spaces. Many facts show that it has many nice geometric and analytic properties, and serial applications in vector-valued harmonic analysis and stochastic analysis. In this paper, some results related to UMD space have been introduced, it carries on in the following aspects:(1) Introduction ) (2) Geometrical and analytic characterizations of UMD space; (3) UMD spaces in analysis; (4)Applications in the theory of vector-valued harmonic analysis) (5) Applications in the problems of sharp inequalities.
出处
《应用泛函分析学报》
CSCD
2002年第3期280-288,共9页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(201980233)
