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An uncountable family of regular Borel measures on certain path spaces of Lipschitz functions

Richard L. Baker
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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.

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Richard L. Baker. 2007-03-05. An uncountable family of regular Borel measures on certain path spaces of Lipschitz functions. https://arxiv.org/abs/math/0703117

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