THE GENERALIZED FERNIQUE S THEOREM FOR ANALOGUE OF WIENER MEASURE SPACE

• 발행기관: 충청수학회
• 저자명: Kun Sik Ryu
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 743~748쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

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.

목차

1. Preliminaries

2. Main Theorem

References