Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE ANALOGUE OF WIENER SPACE WITH VALUES IN ORLICZ SPACE

  • Ryu, Kun Sik (Department of Mathematics Education Hannam University)
  • Received : 2014.09.17
  • Accepted : 2014.10.20
  • Published : 2014.11.15
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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.

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References

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Cited by

  1. A NOTE ON ANALOGUE OF WIENER SPACE WITH VALUES IN ORLICZ SPACE vol.37, pp.4, 2015, https://doi.org/10.5831/HMJ.2015.37.4.505