A NOTE ON ANALOGUE OF WIENER SPACE WITH VALUES IN ORLICZ SPACE

• Journal title : Honam Mathematical Journal
• Volume 37, Issue 4,  2015, pp.505-512
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2015.37.4.505
Title & Authors
A NOTE ON ANALOGUE OF WIENER SPACE WITH VALUES IN ORLICZ SPACE
PARK, YEON HEE;

Abstract
In this note we find the upper bound for $\small{{\rho}(u^n,M)=\int_{0}^{T}\int_{0}^{{\mid}u(t){\mid}^n}p(s)dsdt}$ and show that $\small{F(y)=y^n}$ is $\small{m_{\phi}^M}$-Bochner integrable on $\small{C(\mathcal{O} _M)}$ for $\small{0{\leq}t{\leq}T}$ when $\small{\int_{\mathcal{O}_M}{\parallel}u_0{\parallel}_M^nd{\phi}(u_0)}$ is finite.
Keywords
analogue of Wiener measure space;Orlicz space;
Language
English
Cited by
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