Towards a theory of BV functions in abstract Wiener spaces

DOI10.1016/j.physd.2009.03.007zbMath1200.26011OpenAlexW2073435511MaRDI QIDQ989346

Stefania Maniglia, Luigi Ambrosio, Michele~jun. Miranda, Pallara, Diego

Publication date: 19 August 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.03.007

zbMATH Keywords

Sobolev spacesfunctions of bounded variationabstract Wiener spaceGaussian measureOrnstein-Uhlenbeck semigroup

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items (5)

Functions of bounded variation on infinite-dimensional spaces with measures ⋮ Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space ⋮ BV functions in a Hilbert space with respect to a Gaussian measure ⋮ Sobolev functions on infinite-dimensional domains ⋮ BV functions in abstract Wiener spaces

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