定义了向量值弱Orlicz鞅空间和3种类型的弱原子,证明了向量值弱Orlicz鞅空间上的一些弱原子分解定理,并利用这些分解,得到向量值弱Orlicz鞅空间之间的嵌入关系,其结果与Banach空间的几何性质有密切关系。
Some vector-valued weak Orlicz martingale spaces and three type weak atomics are defined,and the primary theorems of weak atomic decompositions for these weak spaces are established.As an application,the embedding relationships among these martingale spaces are discussed,and the results obtained here are closely connected with the geometric properties of the Banach space.