On integration by parts formula on open convex sets in Wiener spaces

DOI10.1007/s00028-020-00663-1zbMath1473.28011arXiv1808.06825OpenAlexW3122238622MaRDI QIDQ2044662

Giorgio Menegatti, Davide Addona, Michele~jun. Miranda

Publication date: 10 August 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06825

zbMATH Keywords

abstract Wiener spacesconvex analysisgeometric measure theoryintegration by parts formulainfinite-dimensional analysis

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Characterizations of Sobolev spaces on sublevel sets in abstract Wiener spaces ⋮ \(BV\) functions on open domains: the Wiener case and a Fomin differentiable case ⋮ Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains

Cites Work

• Maximal \(L^{2}\) regularity for Ornstein-Uhlenbeck equation in convex sets of Banach spaces
• Some fine properties of BV functions on Wiener spaces
• Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
• Partitions of unity in Sobolev spaces over infinite dimensional state spaces
• Convex functions, monotone operators and differentiability.
• Hausdorff measures on the Wiener space.
• Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space
• Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability
• BV functions in abstract Wiener spaces
• BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
• \(BV\) functions on open domains: the Wiener case and a Fomin differentiable case
• \textit{BV} functions on convex domains in Wiener spaces
• Traces of Sobolev functions on regular surfaces in infinite dimensions
• Perimeter of sublevel sets in infinite dimensional spaces
• On the space of BV functions and a related stochastic calculus in infinite dimensions
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