[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2014.27.4.689

THE ANALOGUE OF WIENER SPACE WITH VALUES IN ORLICZ SPACE

Ryu, Kun Sik (Department of Mathematics Education Hannam University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.27, no.4, 2014 , pp. 689-695 More about this Journal

Abstract

Let M be an N-function satisfies the ${\Delta}_2$ -condition and let $O_M$ be the Orlicz space associated with M. Let $C(O_M)$ be the space of all continuous functions defined on the interval [0, T] with values in $O_M$ . In this note, we define the analogue of Wiener measure $m^M_{\phi}$ on $C(O_M)$ , establish the Wiener integration formulae for the cylinder functions on $C(O_M)$ and give some examples related to our formulae.

Keywords

N-function; Orlicz space; ${\Delta}_2$ -condition; ${\Delta}_a$ -condition; analogue of Wiener space with values Orlicz space; Wiener integration formula;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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