Acta mathematica scientia,Series A

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A Generalization of Strassen's Theorem for Brownian Motion

Liu Jicheng   

  1. School of Mathematics and Computational Science, Zhongshan University, Guangzhou 510275

    Huazhong University of Science and Technology, Wuhan 430074

  • Received:2004-10-25 Revised:2006-02-16 Online:2006-08-25 Published:2006-08-25
  • Contact: Liu Jicheng

Abstract: In this paper, the author obtains Schilder's theorem in $(p,r)$-capacity and Holder norm case. As an application, the author proves a sharpening of Strassen's law of iterated logarithm in this case.

Key words: Schilder''s theorem, Strassen''s theorem, p,r-capacity.

CLC Number: 

  • 60F10
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