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

Authors
  • Baker, Richard L.
Type
Preprint
Publication Date
Mar 04, 2007
Submission Date
Mar 04, 2007
Identifiers
arXiv ID: math/0703117
Source
arXiv
License
Unknown
External links

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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