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为推广 Strassen重对数律,研究了Brown运动在抽象 Wiener空间下的局部极限性质。应用(r,p)-容度及 H?lder范数意义下的 Schilder定理,证明了拟必然局部 Strassen重对数律,为研究多参数Brown运动的极限性质提供方法。“,”In order to extend the Strassen′s law of iterated logarithm,a local limit property for Brown motion in abstract Wie-ner space was discussed.The quasi sure local Strassen′s law of iterated logarithm was derived by the Schilder′s theorem in (r,p)-capcity and H?lder norm.The method is provided to study multiparameter limit property for Brown motion.