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中文摘要：
本文研究了拟局部算子在几个Banach空间值鞅空间上的有界性．给出了几个有界性定理，证明了鞅空间的简单原子分解．得到几个极大算子和P均方算子的一系列鞅不等式以及鞅空间的包含关系．
英文摘要：
In this paper the boundedness of quasi-local operators on some B-valued martingale spaces are studied. Some boundedness theorems are given, and some simple atomic decompositions are also proved. As applications a series of inequalities concerning the maximal operator and the p-varation operator and some imbedding relationships between martingale spaces are obtained.
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