Small-constant uniform rectifiability
From MaRDI portal
Publication:6200341
DOI10.1007/s12220-024-01567-zarXiv2307.16858OpenAlexW4392795630MaRDI QIDQ6200341
Publication date: 22 March 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2307.16858
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Harmonic analysis on chord arc domains
- The one-phase problem for harmonic measure in two-sided NTA domains
- Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains
- Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
- Rectifiable sets and the traveling salesman problem
- Chord-arc surfaces with small constant. I
- Chord-arc surfaces with small constant. II: Good parametrizations
- Divergence form operators in Reifenberg flat domains
- A new proof of Reifenberg's topological disc theorem
- Wavelets and singular integrals on curves and surfaces
- Harmonic measure on locally flat domains
- Dahlberg's theorem in higher co-dimension
- Free boundary regularity for harmonic measures and Poisson kernels
- Regularity of the singular set in a two-phase problem for harmonic measure with Hölder data
- Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability
- Blow-ups of caloric measure in time varying domains and applications to two-phase problems
- The two-phase problem for harmonic measure in VMO
- Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem
- Almost Lipschitz-continuous wavelets in metric spaces via a new randomization of dyadic cubes
- A free boundary problem for the parabolic Poisson kernel
- A singular integral approach to a two phase free boundary problem
- Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains
- Sets of Finite Perimeter and Geometric Variational Problems
- Uniform Rectifiability and Harmonic Measure III: Riesz Transform Bounds Imply Uniform Rectifiability of Boundaries of 1-sided NTA Domains
- Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$
- Reifenberg parameterizations for sets with holes
- Uniform rectifiability, Calderón-Zygmund operators with odd kernel, and quasiorthogonality
- The Logarithm of the Poisson Kernel of a C 1 Domain has Vanishing Mean Oscillation
- Poisson kernel characterization of Reifenberg flat chord arc domains
- Two phase free boundary problem for Poisson kernels
- Chord-arc constants for submanifolds of arbitrary codimension
- Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries
- Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains
- An \(\alpha\)-number characterization of \(L^p\) spaces on uniformly rectifiable sets
