有限鞅在向量值弱Hardy-Orlicz鞅空间中的稠密性  

The Density of Finite Martingales in Weak Hardy-Orlicz Spaces of Vector-Valued Martingales

作　　者：周振星 于林[1] ZHOU Zhenxing;YU Lin(School of Science, China Three Gorges University, Yichang 443002, Chin)

机构地区：[1]三峡大学理学院,宜昌443002

出　　处：《应用泛函分析学报》2018年第2期113-121,共9页Acta Analysis Functionalis Applicata

摘　　要：通过对可预报向量值弱Hardy-Orlicz鞅空间wP_B~Φ建立弱原子鞅分解,并借助广义的Davis鞅分解定理,证明了有限鞅在向量值弱Hardy-Orlicz鞅空间wH_B~Φ中稠密的充分必要条件是Banach空间B具有Radon-Nikodym性质,所得结果推广了已有文献中的相应结论.In this paper, the theorem of weak atomic decompositions for the predictable vector-valued martingale weak Hardy-Orlicz space wPB^Φ is established, by which and with the help of the generalized Davis＇ s decomposition of martingales, it is proved that the finite martingales are dense in weak Hardy-Orlicz space wHB^Φ of Bvalued martingales if and only if the Banach space B has the Radon-Nikodym property.The results obtained here extend the corresponding results in former literature.

关 键 词：有限鞅 稠密性 弱Hardy-Orlicz空间 RADON-NIKODYM性质 

分 类 号：O177.2[理学—数学] O211.6[理学—基础数学]