Bounded Variation with Respect to a Log-Concave Measure

DOI10.1080/03605302.2012.690014zbMath1257.26009OpenAlexW2043965935WikidataQ103716124 ScholiaQ103716124MaRDI QIDQ4902767

Beniamin Goldys, Pallara, Diego, Luigi Ambrosio, Giuseppe Da Prato

Publication date: 17 January 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2012.690014

zbMATH Keywords

BV functionslog-concavityinfinite dimensional diffusions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic calculus of variations and the Malliavin calculus (60H07) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Functions of bounded variation, generalizations (26A45)

Related Items (3)

BV functions in Hilbert spaces ⋮ Malliavin calculus for non-Gaussian differentiable measures and surface measures in Hilbert spaces ⋮ On the law of the minimum in a class of unidimensional SDEs

Cites Work

• Unnamed Item
• Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space
• Integration by parts formulae for Wiener measures restricted to subsets in \(\mathbb R^{d}\)
• Continuity of \(\ell ^ 2\)-valued Ornstein-Uhlenbeck processes
• BV functions in abstract Wiener spaces
• BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
• Integration by parts formulae on convex sets of paths and applications to SPDEs with reflection
• Ergodicity for Infinite Dimensional Systems
• On the space of BV functions and a related stochastic calculus in infinite dimensions

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