Geometric criteria for C1,α$C^{1,\alpha }$‐rectifiability
From MaRDI portal
Publication:6133807
DOI10.1112/jlms.12520arXiv1909.10625OpenAlexW4210590174MaRDI QIDQ6133807
Giacomo Del Nin, Kennedy O. Idu
Publication date: 21 August 2023
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.10625
Lipschitz (Hölder) classes (26A16) Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)
Related Items
Cones, rectifiability, and singular integral operators, \(C^{1,\alpha}\)-rectifiability in low codimension in Heisenberg groups, Endpoint Fourier restriction and unrectifiability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rectifiable sets and the traveling salesman problem
- High-dimensional Menger-type curvatures. II: \(d\)-separation and a menagerie of curvatures
- Characterization of \(n\)-rectifiability in terms of Jones' square function. II
- A sufficient condition for the \(C^H\)-rectifiability of Lipschitz curves
- Menger curvature and rectifiability
- On the structure of singular sets of convex functions
- Higher order rectifiability of measures via averaged discrete curvatures
- Geometric conditions and existence of bi-Lipschitz parameterizations
- Hamilton-Jacobi equations and distance functions on Riemannian manifolds
- High-dimensional Menger-type curvatures. I: Geometric multipoles and multiscale inequalities
- Menger curvatures and \(C^{1,\alpha}\) rectifiability of measures
- A criterion for \(C^2\)-rectifiability of sets
- Wasserstein distance and the rectifiability of doubling measures. I
- Reifenberg parameterizations for sets with holes
- On the differentiation of convex functions in finite and infinite dimensional spaces
- Conditions quantitatives de rectifiabilité
- Integral Menger curvature and rectifiability of $n$-dimensional Borel sets in Euclidean $N$-space
- Sufficient conditions for C^1,α parametrization and rectifiability
- Characterization of rectifiable measures in terms of 𝛼-numbers
- Rectifiability and approximate differentiability of higher order for sets
- On the structure of sets with positive reach
- Characterization of \(n\)-rectifiability in terms of Jones' square function. I