标题:
弱Orlicz-Hardy空间之间的鞅变换Martingale Transforms between Weak Orlicz-Hardy Spaces
作者:
于林, 尹环
关键字:
鞅, 弱Orlicz-Hardy空间, 鞅变换Martingale; Weak Orlicz-Hardy Space; Martingale Transform
期刊名称:
《Pure Mathematics》, Vol.3 No.4, 2013-07-18
摘要:
利用Burkholder的鞅变换为工具,刻画了弱Orlicz-Hardy鞅空间之间的相互关系,构造性地证明了:对于任意的两个Young函数 ,且 (某种意义下),则弱Orlicz-Hardy空间 中的鞅是 中元素的鞅变换;反过来,弱Orlicz-Hardy鞅空间 中的鞅也是 中元素的鞅变换。Using the technique of Burkholder’s martingale transforms, we investigate the correlations between two weak Orlicz-Hardy spaces of martingales. Let and in be two Young functions and in some sense, a constructive proof is obtained of that the elements in weak Orlicz-Hardy space are none other than the martingale transforms of those in weak Orlicz-Hardy space , and vice versa.