학술논문
A NOTE ON ANALOGUE OF WIENER SPACE WITH VALUES IN ORLICZ SPACE
Document Type
Article
Author
Source
호남수학학술지 / HONAM MATHEMATICAL JOURNAL. Dec 31, 2015 37(4):505
Subject
Language
English
ISSN
1225-293x
Abstract
In this note we find the upper bound for $\rho (u^n, M)=\int_0^T \int_0^{|u(t)|^n} p(s)dsdt$ and show that $ F(y)=y^n $ is $ m_{\phi}^M $-Bochner integrable on $ C (\mathcal{O}_M )$ for $0 \leq t \leq T$ when $\int_{\mathcal{O}_M }\|u_0 \|_{M}^n d \phi (u_0 )$ is finite.