\textit{BV} functions on convex domains in Wiener spaces

DOI10.1007/s11118-015-9462-9zbMath1321.28027arXiv1403.5770OpenAlexW2025498863MaRDI QIDQ2356042

Alessandra Lunardi, Pallara, Diego, Michele~jun. Miranda

Publication date: 28 July 2015

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5770

zbMATH Keywords

functions of bounded variationWiener spacesOrnstein-Uhlenbeck semigroup

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Stochastic calculus of variations and the Malliavin calculus (60H07) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (8)

Maximal \(L^{2}\) regularity for Ornstein-Uhlenbeck equation in convex sets of Banach spaces ⋮ Sobolev and Besov classes on infinite-dimensional spaces ⋮ On Skorokhod differentiable measures ⋮ On integration by parts formula on open convex sets in Wiener spaces ⋮ \(BV\) functions on open domains: the Wiener case and a Fomin differentiable case ⋮ On functions of bounded variation on convex domains in Hilbert spaces ⋮ Pointwise conditions for membership of functions in weighted Sobolev classes ⋮ Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in \(\text{RCD}(K, \infty)\) metric measure spaces
• Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
• Dirichlet spaces on \(H\)-convex sets in Wiener space
• \(BV\) functions and parabolic initial boundary value problems on domains
• Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space
• Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below
• Sets with finite perimeter in Wiener spaces, perimeter measure and boundary rectifiability
• Total variation and Cheeger sets in Gauss space
• BV functions in abstract Wiener spaces
• On estimation of the logarithmic Sobolev constant and gradient estimates of heat semigroups
• Elliptic operators with unbounded drift coefficients and Neumann boundary condition.
• BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
• Sobolev functions on infinite-dimensional domains
• On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces
• Traces of Sobolev functions on regular surfaces in infinite dimensions
• Perimeter of sublevel sets in infinite dimensional spaces
• Two Characterization of BV Functions on Carnot Groups via the Heat Semigroup
• An introduction to $BV$ functions in Wiener spaces
• On the isoperimetric deficit in Gauss space
• A gradient estimate on a manifold with convex boundary
• Curvature Measures
• On the small balls problem for equivalent Gaussian measures
• Gradient estimates in parabolic problems with unbounded coefficients
• Gradient estimate on convex domains and applications
• Reflecting Ornstein-Uhlenbeck processes on pinned path spaces
• On the space of BV functions and a related stochastic calculus in infinite dimensions

This page was built for publication: \textit{BV} functions on convex domains in Wiener spaces