2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125092We 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 pagesFunctional Analysis26A99,28C05,28C15,28C20,60G05,81540An uncountable family of regular Borel measures on certain path spaces of Lipschitz functionstext