Banach空间值鞅Hardy-Lorentz空间的共轭  

The Dual Spaces of Hardy-Lorentz Spaces of B-valued Martingales

作　　者：任娇娇[1] 于林[1] 

机构地区：[1]三峡大学理学院

出　　处：《应用泛函分析学报》2016年第2期113-123,共11页Acta Analysis Functionalis Applicata

摘　　要：本文旨在给出:Banach空间值Hardy-Lorentz鞅空间的共轭空间的完全刻画.首先,对B值鞅引入了一类新的广义Lipschitz鞅空间及"原子鞅"的概念;其次,对B值Hardy-Lorentz鞅空间建立了"原子鞅"的分解定理;最后,以此为工具证明了其共轭空间是广义Lipschitz鞅空间.所得结论将已有的相应结果由实值鞅推广到Banach空间值鞅的情况.The purpose of this paper is to identify the dual spaces of the B-valued Hardy-Lorentz martingale spaces. The concepts of generalized Lipschitz spaces and ＂atomic martingales＂ are introduced for B-valued martingales, a theorem of atomic decompositions for the Hardy-Lorentz spaces of Banach-space-valued martingales is established. With the help of atomic decomposition, it is shown that the dual spaces of the Hardy-Lorentz martingale spaces are the generalized Lipschitz spaces. The results obtained here extends the corresponding results from real martingales to B-valued martingales.

关 键 词：BANACH空间值鞅 Hardy-Lorentz空间 原子分解 共轭空间 

分 类 号：O177.2[理学—数学] O211.6[理学—基础数学]