鞅变换与弱Hardy-Orlicz-Karamata鞅空间  

Martingale Transforms and Weak Hardy-Orlicz-Karamata Spaces of Martingales

作　　者：周念 于林[1] ZHOU Nian;YU Lin(School of Science,China Three Gorges University,Yichang 443002,China)

机构地区：[1]三峡大学理学院

出　　处：《应用泛函分析学报》2019年第3期208-216,共9页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11871195)

摘　　要：借助于鞅变换,刻画了弱Hardy-Orlicz-Karamata鞅空间之间的相互关系.具体而言,设Young函数Φ1≤Φ2,b(·)是一不减的慢变函数,通过构造性的方法证明了:弱Hardy-Orlicz-Karamata鞅空间wHΦ1,b中任意元素f是wHΦ2,b中某个鞅g的鞅变换.所得结果推广了已有文献中的相应结论.The relations between weak Hardy-Orlicz-Karamata spaces of martingales are characterized by martingale transforms.More precisely,let Φ1≤Φ2 be two Young functions and b(·) be non-decreasing slowly varying function,it is constructively proved that the elements in weak Hardy-Orlicz-Karamata space wHΦ1,b are none other than the martingale transforms of those in weak Hardy-Orlicz-Karamata space wHΦ2,b.The results obtained here extend the corresponding results in former literature.

关 键 词：鞅变换 弱Hardy-Orlicz-Karamata空间 慢变函数 

分 类 号：O177.2[理学—数学] O211.6[理学—基础数学]