학술저널
THE GENERALIZED FERNIQUE S THEOREM FOR ANALOGUE OF WIENER MEASURE SPACE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 4
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2009.12743 - 748 (6 pages)
- 0
In 1970, Fernique proved that there is a positive real number ？？ such that R B expf？？kxk2gdP(x) is ¯nite where (B; P) is an abstract Wiener measure space and k ¢ k is a measurable norm on (B; P) in [2, 3]. In this article, we investigate the existence of the integral R C expf？？(supt jx(t)j)pgdm (x) where (C;m ) is the analogue of Wiener measure space and p and ？？ are both positive real numbers.
1. Preliminaries
2. Main Theorem
References
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