The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability
DOI10.2140/apde.2017.10.513zbMath1369.31006arXiv1511.09270OpenAlexW3102895370MaRDI QIDQ524231
Kaj Nyström, Phi Le, Steven Hofmann, José Maria Martell
Publication date: 2 May 2017
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.09270
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Boundary behavior of harmonic functions in higher dimensions (31B25) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rectifiability of harmonic measure
- Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions
- 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
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Regularity for a more general class of quasilinear equations
- On the Hausdorff dimension of harmonic measure in higher dimension
- The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds.
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- Carleson measures, trees, extrapolation, and \(T(b)\) theorems
- The solution of the Kato problem in two dimensions
- The Cauchy integral, analytic capacity, and uniform rectifiability
- Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability
- Local behavior of solutions of quasi-linear equations
- Symmetry theorems and uniform rectifiability
- Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains
- Uniform limits of certain A-harmonic functions with applications to quasiregular mappings
- Regularity of the Poisson kernel and free boundary problems
- Uniqueness in a Free Boundary Problem
- Elliptic Partial Differential Equations of Second Order
- Poisson kernel characterization of Reifenberg flat chord arc domains
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- POTENTIAL-THEORETIC CHARACTERIZATIONS OF NONSMOOTH DOMAINS
- 𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets
This page was built for publication: The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability