An uncountable family of regular Borel measures on certain path spaces of Lipschitz functions
arXiv:math/0703117
Abstract
We present a general method of constructing an uncountable family of regular Borel measures on certain path spaces of Lipschitz functions having fixed Lipschitz constants. We use this method to give a definition of Lebesgue measure and uniform probability measre on these spaces.
36 pages