摘要
以鞅变换为工具,刻画了LФ可料控制鞅的Hardy-Orlicz空间之间的相互关系,设Ф1和Ф2是两个Young函数,并在某种意义上Ф2强于Ф1(具体定义见正文),以构造性的方法证明了Hardy—Orlicz空间DФ1中的Ф恰好是Hardy-Orlicz空间要强DФ2的鞅的鞅变换.所得的结果推广了已有文献中的相关结论.
Using the technique of martingale transforms, the relation between Hardy-Orlicz spaces of LФpredictable martingales is investigated. Let Ф1 and Ф2 be two Young functions and Ф1 - Ф2 in some sense, a constructive proof is obtained of that the elements in Hardy-Orlicz space DФ1 are none other than the martingale transforms of those in Hardy-Orlicz space DФ2. The results obtained here extend the corresponding results in the former literatures.
出处
《应用泛函分析学报》
CSCD
2012年第3期245-250,共6页
Acta Analysis Functionalis Applicata
基金
湖北省自然科学基金(2010CDB10807)
湖北省教育厅自然科学研究计划重点项目(D20101204)