Removable sets for Lipschitz harmonic functions on Carnot groups
From MaRDI portal
Publication:2349165
DOI10.1007/s00526-014-0766-1zbMath1320.28004arXiv1310.5827OpenAlexW2002387505MaRDI QIDQ2349165
Jeremy T. Tyson, Vasilis Chousionis, Valentino Magnani
Publication date: 19 June 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.5827
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Length, area, volume, other geometric measure theory (28A75)
Related Items
Nonnegative kernels and 1-rectifiability in the Heisenberg group ⋮ Removable sets for homogeneous linear partial differential equations in Carnot groups ⋮ Singular integrals on \(C^{1, \alpha}\) regular curves in Carnot groups ⋮ Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group ⋮ Towards a theory of area in homogeneous groups ⋮ Cauchy transforms of self-similar measures: Starlikeness and univalence ⋮ The Gauss-Green theorem in stratified groups ⋮ Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Removable sets for homogeneous linear partial differential equations in Carnot groups
- Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory
- The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions
- On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1
- Nuovi teoremi relativi alle misure \((r - 1)\)-dimensionali in uno spazio ad \(r\) dimensioni
- Rectifiable sets and the traveling salesman problem
- Characteristic points, rectifiability and perimeter measure on stratified groups
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups
- Non-horizontal submanifolds and coarea formula
- Smooth maps, null-sets for integralgeometric measure and analytic capacity
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Unrectifiable 1-sets have vanishing analytic capacity
- Removable sets for Lipschitz harmonic functions in the plane
- Painlevé's problem and the semiadditivity of analytic capacity.
- On geometric properties of harmonic \(\text{Lip}_ 1\)-capacity
- The Cauchy integral, analytic capacity, and uniform rectifiability
- Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
- Bounded analytic functions
- TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS
- On a measure-theoretic area formula
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Analytic capacity: discrete approach and curvature of measure
- Self-similar sets in complete metric spaces
- Homogeneous kernels and self similar sets
- The measure of the critical values of differentiable maps
- Rectifiability and perimeter in the Heisenberg group
This page was built for publication: Removable sets for Lipschitz harmonic functions on Carnot groups