两指标B值强鞅空间的强原子分解

Strong Atomic Decomposition for Two-parameter Banach Space Valued Strong Martingale Space

定义了两指标B值强鞅空间和强原子,利用Banach空间的光滑性建立了两指标B值强鞅空间s∑αp的强原子分解定理,应用强原子分解定理证明了一些两指标B值强鞅不等式.

Strong atomic decomposition for two-parameter Banach space valued strong martingale space s~∑α^p is established using the p-smoothness of Banach space. By applying the strong atomic decomposition, several two-parameter Banach space valued strong martingale inequalities are proved.