中文摘要：

本文研究向量值鞅空间BMOαq（X）的有关性质,分别证明了由BMOαq（X）鞅的鞅差所定义的某个张量测度为有界（q,α）-Carleson测度,以及X值鞅的q阶均方算子Sq（＆#183;）在BMOαq（X）上有界的充分必要条件是X同构于q一致凸Banach空间.其结果推广了已有文献中的相应结论.

英文摘要：

In this paper, some properties of the vector-valued martingale spaces BMOq （X） are investigated. It is proved that a measure related to a X-valued martingale f E BMOq （X） is a bounded （q, a）-Carleson measure and the q-variation Sq （f） on BMOq （X） is bounded if and only if X has an equivalent norm which is q-uniformly convex. The results obtained here extend the corresponding results from real martingales to vector- valued martingales.