THE ANALOGUE OF WIENER SPACE WITH VALUES IN ORLICZ SPACE

• 발행기관: 충청수학회
• 저자명: Kun Sik Ryu
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 4, 689~695쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.11.30

영문 초록

Let M be an N-function satises the 42-condition and let OM be the Orlicz space associated with M. Let C(OM) be the space of all continuous functions dened on the interval [0; T] with values in OM. In this note, we dene the analogue of Wiener measure mM on C(OM), establish the Wiener integration formulae for the cylinder functions on C(OM) and give some examples related to our formu-lae.

목차

1. Introduction

2. Preliminaries: denitions, notations and properties

3. The analogue of Wiener space with values in Orlicz space