The BV-capacity in metric spaces
From MaRDI portal
Publication:967642
DOI10.1007/s00229-010-0337-5zbMath1194.28001OpenAlexW1986416811MaRDI QIDQ967642
Heikki Hakkarainen, Juha Kinnunen
Publication date: 30 April 2010
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-010-0337-5
Contents, measures, outer measures, capacities (28A12) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hausdorff and packing measures (28A78) Functions of bounded variation, generalizations (26A45)
Related Items (41)
The variational 1-capacity and BV functions with zero boundary values on doubling metric spaces ⋮ A new Cartan-type property and strict quasicoverings when $p=1$ in metric spaces ⋮ An analog of the Neumann problem for the 1-Laplace equation in the metric setting: existence, boundary regularity, and stability ⋮ The Besov capacity in metric spaces ⋮ Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) ⋮ A note on BV capacities on Grushin spaces ⋮ On locally essentially bounded divergence measure fields and sets of locally finite perimeter ⋮ A Federer-style characterization of sets of finite perimeter on metric spaces ⋮ Superminimizers and a weak Cartan property for \(p = 1\) in metric spaces ⋮ The variable exponent BV-Sobolev capacity ⋮ The Choquet and Kellogg properties for the fine topology when \(p=1\) in metric spaces ⋮ The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ Existence of parabolic minimizers to the total variation flow on metric measure spaces ⋮ Capacitary density and removable sets for Newton-Sobolev functions in metric spaces ⋮ Removable sets for Newtonian Sobolev spaces and a characterization of \(p\)-path almost open sets ⋮ Strong approximation of sets of finite perimeter in metric spaces ⋮ Approximation of BV by SBV functions in metric spaces ⋮ Trace theorems for functions of bounded variation in metric spaces ⋮ BV capacity and Sobolev capacity for the Laguerre operator ⋮ Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces ⋮ Capacity \& perimeter from \(\alpha\)-Hermite bounded variation ⋮ A new capacity for the affine bounded variation ⋮ A pointwise characterization of functions of bounded variation on metric spaces ⋮ On the regularity of the maximal function of a BV function ⋮ The total variation flow with time dependent boundary values ⋮ Fine properties and a notion of quasicontinuity for BV functions on metric spaces ⋮ Capacities and 1-strict subsets in metric spaces ⋮ A notion of fine continuity for BV functions on metric spaces ⋮ BV capacity on generalized Grushin plane ⋮ Comparisons of relative BV-capacities and Sobolev capacity in metric spaces ⋮ Unnamed Item ⋮ Restriction of heat equation with Newton-Sobolev data on metric measure space ⋮ Discrete convolutions of \(\text{BV}\) functions in quasiopen sets in metric spaces ⋮ Quasiopen sets, bounded variation and lower semicontinuity in metric spaces ⋮ The \(\infty \)-capacity and Faber-Krahn inequality on Grushin spaces ⋮ A new Federer-type characterization of sets of finite perimeter ⋮ A Time Dependent Variational Approach to Image Restoration ⋮ Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups ⋮ On rough traces of BV functions ⋮ Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear potential theory on metric spaces
- Adams inequality on metric measure spaces
- Forme abstraite du théorème de capacitabilité
- Functions of bounded variation on ``good metric spaces
- Lebesgue points and the fundamental convergence theorem for superharmonic functions on metric spaces
- Lebesgue points for Sobolev functions on metric spaces.
- Sobolev space properties of superharmonic functions on metric spaces
- Lectures on analysis on metric spaces
- Fine properties of sets of finite perimeter in doubling metric measure spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Capacities in metric spaces
- Sobolev spaces with zero boundary values on metric spaces
- Weakly Differentiable Functions
- Sobolev met Poincaré
- Lebesgue points and capacities via boxing inequality in metric spaces
- Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
This page was built for publication: The BV-capacity in metric spaces