Fine properties of functions with bounded variation in Carnot-Carathéodory spaces
From MaRDI portal
Publication:2320090
DOI10.1016/j.jmaa.2019.06.035zbMath1428.26018arXiv1808.09711OpenAlexW2951609295WikidataQ109744489 ScholiaQ109744489MaRDI QIDQ2320090
Davide Vittone, Sebastiano Don
Publication date: 21 August 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.09711
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Functions of bounded variation, generalizations (26A45)
Related Items (7)
A rectifiability result for finite-perimeter sets in Carnot groups ⋮ Area of intrinsic graphs and coarea formula in Carnot groups ⋮ On rectifiable measures in Carnot groups: representation ⋮ Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups ⋮ Surface measure on, and the local geometry of, sub-Riemannian manifolds ⋮ A compactness result for BV functions in metric spaces ⋮ Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularity estimates for convex functions in Carnot-Carathéodory spaces
- Regularity of sets with constant intrinsic normal in a class of Carnot groups
- Locality of the perimeter in Carnot groups and chain rule
- On Carnot-Caratheodory metrics
- Nuovi teoremi relativi alle misure \((r - 1)\)-dimensionali in uno spazio ad \(r\) dimensioni
- Characteristic points, rectifiability and perimeter measure on stratified groups
- Balls and metrics defined by vector fields. I: Basic properties
- Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
- Hypoelliptic differential operators and nilpotent groups
- Sobolev and isoperimetric inequalities for degenerate metrics
- On the structure of finite perimeter sets in step 2 Carnot groups
- Weak differentiability of BV functions on stratified groups
- Lectures on analysis on metric spaces
- Rank-one theorem and subgraphs of BV functions in Carnot groups
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
- The geometric Sobolev embedding for vector fields and the isoperimetric inequality
- Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane
- An elementary proof of the rank-one theorem for BV functions
- BV functions and sets of finite perimeter in sub-Riemannian manifolds
- On transversal submanifolds and their measure
- Two Characterization of BV Functions on Carnot Groups via the Heat Semigroup
- An intrinsic measure for submanifolds in stratified groups
- Rank one property for derivatives of functions with bounded variation
- Sobolev met Poincaré
- A compactness result for BV functions in metric spaces
- On Tangent Cones to Length Minimizers in Carnot--Carathéodory Spaces
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces
- [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
- Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces
- Rectifiability and perimeter in the Heisenberg group
- Surface measures in Carnot-Carathéodory spaces
This page was built for publication: Fine properties of functions with bounded variation in Carnot-Carathéodory spaces
