Intrinsic metrics and Lipschitz functions

Francis Hirsch ()
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Francis Hirsch: Université d’Évry — Val d’Essonne Boulevard F. Mitterrand, Equipe d’Analyse et Probabilités

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 11-25 from Springer

Abstract: Abstract We study the notions of measurable metric and Lipschitz function which were introduced by N. Weaver ([12]), in the framework of Dirichlet spaces. To this respect, we bring some precisions and complements to [15], notably concerning links with the notion of intrinsic metric ([2]). In the particular case of an abstract Wiener space, we establish the relationship between these notions and that of H-metric ([5]) and µ-a.e. H-Lipschitz continuous function ([4]).

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_2

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DOI: 10.1007/978-3-0348-7924-8_2

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