B值双鞅算子■的收敛性

Convergence of Banach-space-valued Paraproduct Martingale ■

应用鞅不等式及Banach空间的几何性质,讨论了当Banach空间X是p阶光滑时,取值于X上的Banach值双鞅算子的a.e.收敛性。

Applying the martingale inequalities and the geometry properties of Banach space to Banach-space-valued Paraproduct Martingale, we discussed a. e. convergence of Banach-space-valued Paraproduct Martingale as the space which the martingale takes values in is p-smoothing.