Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 1
- /
- Pages.169-174
- /
- 1996
- /
- 1225-1763(pISSN)
- /
- 2234-3024(eISSN)
Capacity of a set of H$ddot{o}$lder $\alpha$-continuous functions in Wiener space
Abstract
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 $\mu$.