B值拟终鞅与Banach空间的UMD性

B -VALUED EVENTUAL QUASI-MARTINGALES AND UMD PROPERTIES OF BANACH SPACES

用B值拟终鞅变换的性质刻划了UMD空间的特征,并讨论了B值拟终鞅的收敛性与Banach空间UMD性质间的依赖关系。

In this paper, characters of UMD spaces are discribed by means of martingale transforms for B -valued eventual quasi -martingales,and the dependent relations of the convergences of B -valued eventual quasi - martingales and UMD property of Banach spaces are inver-stigated.