BV capacity and perimeter in abstract Wiener spaces and applications
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Publication:6126211
DOI10.1515/gmj-2023-2081OpenAlexW4389141285MaRDI QIDQ6126211
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Publication date: 9 April 2024
Published in: Georgian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/gmj-2023-2081
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Functions of bounded variation, generalizations (26A45) Calculus of functions on infinite-dimensional spaces (26E15) Capacity theory and generalizations (32U20)
Cites Work
- Gaussian \(\mathcal{BV}\) capacity
- On fractional capacities relative to bounded open Lipschitz sets
- Some fine properties of BV functions on Wiener spaces
- Optimal geometric estimates for fractional Sobolev capacities
- Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space
- The sharp Sobolev and isoperimetric inequalities split twice
- Functions of bounded variation on ``good metric spaces
- The BV-capacity in metric spaces
- Total variation and Cheeger sets in Gauss space
- Isoperimetry and symmetrization for logarithmic Sobolev inequalities
- BV functions in abstract Wiener spaces
- Pairings between measures and bounded functions and compensated compactness
- BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
- Flux \& radii within the subconformal capacity
- Embeddings of function spaces via the Caffarelli-Silvestre extension, capacities and Wolff potentials
- Application of capacities to space-time fractional dissipative equations. II: Carleson measure characterization for \(L^q (\mathbb{R}_+^{n+1}, \mu)\)-extension
- Capacity \& perimeter from \(\alpha\)-Hermite bounded variation
- Monotonicity of certain functionals under rearrangement
- Regularity and capacity for the fractional dissipative operator
- The mean curvature of a set of finite perimeter
- Weakly Differentiable Functions
- On the space of BV functions and a related stochastic calculus in infinite dimensions
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