THE GENERALIZED FERNIQUE'S THEOREM FOR ANALOGUE OF WIENER MEASURE SPACE

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Kun Sik Ryu

Abstract





In 1970, Fernique proved that there is a positive real B exp{α(cid:107)x(cid:107)2}dP (x) is finite where (B, P ) is number α such that an abstract Wiener measure space and (cid:107) · (cid:107) is a measurable norm In this article, we investigate the existence on (B, P ) in [2, 3]. C exp{α(supt |x(t)|)p}dmϕ(x) where (C, mϕ) is the of the integral analogue of Wiener measure space and p and α are both positive real numbers.





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