대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제11권1호
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- Pages.169-174
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
Capacity of a set of H$ddot{o}$lder $\alpha$-continuous functions in Wiener space
초록
Let $C_\alpha$ be the collection of those members of $C[0,1]$ which are H$\ddot{o}lder $\alpha$-continuous functions on [0,1]. In this paper, I will show that $\mu(C_{\frac{1}{2}) = 0$ for Wiener measure $\mu$.