Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A Property of Borel Subsets of Wiener Space

  • Ryu, K.S. (Department of Mathematics Hannam University)
  • Received : 1991.05.18
  • Published : 1991.06.30
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Abstract

Wiener measure $m({\lambda}B)$ can behave arbitrarily badly as a function of ${\lambda}$ for Wiener measurable sets B. We show however that $m({\lambda}B)$ is Borel measurable with respect to ${\lambda}$ for any Borel subset B of $C_0$[0, 1].

Keywords

Acknowledgement

Supported by : Korea Science and Engineering Foundation