研究鞅变换算子在一系列弱Hardy鞅空间wHp^s,wHp^σ,wDp,wQp上的有界性。证明了鞅变换算子Tv是(wHq^s,wHr^s),(wHq^σ,wHr^σ),(wDq,wDr)和(wQq,wQr)型的,其中0〈p,q≤∞,r^--1=p^--1+q^--1。所得结果推广了已有文献中的相应结论。
The boundedness of martingale transform operators on a series of weak Hardy spaces of martingales wHp^s,wHp^σ,wDp and wQp is investigated, and that the operator of martingale transform Tvis type of (wHq^s,wHr^s),(wHq^σ,wHr^σ),(wDq,wDr)和(wQq,wQr) is proved, where 0〈p,q≤∞,r^--1=p^--1+q^--1.The results obtained extend the corresponding results in former literatures.