An uncountable family of regular Borel measures on certain path spaces of Lipschitz functions
Functional Analysis
2007-05-23 v1
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.
Cite
@article{arxiv.math/0703117,
title = {An uncountable family of regular Borel measures on certain path spaces of Lipschitz functions},
author = {Richard L. Baker},
journal= {arXiv preprint arXiv:math/0703117},
year = {2007}
}
Comments
36 pages