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http://dx.doi.org/10.5831/HMJ.2015.37.4.505

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

PARK, YEON HEE (Department of Mathematics Education and Institute of Pure and Applied Mathematics, Chonbuk National University)
Publication Information
Honam Mathematical Journal / v.37, no.4, 2015 , pp. 505-512 More about this Journal
Abstract
In this note we find the upper bound for ${\rho}(u^n,M)=\int_{0}^{T}\int_{0}^{{\mid}u(t){\mid}^n}p(s)dsdt$ 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 $\int_{\mathcal{O}_M}{\parallel}u_0{\parallel}_M^nd{\phi}(u_0)$ is finite.
Keywords
analogue of Wiener measure space; Orlicz space;
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Times Cited By KSCI : 2  (Citation Analysis)
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