本文对几类B值小指标鞅空间建立了原子分解定理,利用原子分解讨论了它们之间的相互嵌入关系,其原子分解的存在性和它们之间的关系均与Banach空间的凸性和光滑性有密切联系.
Some theorems of atomic decomposition for Banach-space-valued martingale spaces index are established, by applying them, the embedding relationship between these martingale disscussed. The results obtained here are connected closely with the convexity and smoothness space in which the martingales take values. with small spaces are of Banach