Absolute continuity of degenerate elliptic measure
From MaRDI portal
Publication:6639206
DOI10.1016/J.JFA.2024.110673MaRDI QIDQ6639206
Publication date: 15 November 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Green's functions for elliptic equations (35J08) Harmonic analysis and PDEs (42B37)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions
- Harmonic analysis on chord arc domains
- A new characterization of chord-arc domains
- Area integral estimates for elliptic differential operators with non- smooth coefficients
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Some new function spaces and their applications to harmonic analysis.
- The Wiener test for degenerate elliptic equations
- Estimates of harmonic measure
- On the boundary values of an analytic function
- A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
- Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions
- BMO solvability and \(A_\infty\) condition of the elliptic measures in uniform domains
- BMO solvability and absolute continuity of harmonic measure
- Dahlberg's theorem in higher co-dimension
- Heat kernel generated frames in the setting of Dirichlet spaces
- Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability
- Uniform rectifiability and elliptic operators satisfying a Carleson measure condition
- Elliptic measures and square function estimates on 1-sided chord-arc domains
- Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem
- Carleson perturbations of elliptic operators on domains with low dimensional boundaries
- Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations
- Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets
- \(A_\infty\) implies NTA for a class of variable coefficient elliptic operators
- BMO solvability and the \(A_{\infty}\) condition for elliptic operators
- \(H^p\) spaces of several variables
- Square functions and the \(A_\infty\) property of elliptic measures
- Carleson estimates for the Green function on domains with lower dimensional boundaries
- Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$
- On the Poisson integral for Lipschitz and $C^{1}$-domains
- The local regularity of solutions of degenerate elliptic equations
- Weighted norm inequalities for maximal functions and singular integrals
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Elliptic Theory for Sets with Higher Co-dimensional Boundaries
- Generalized Carleson perturbations of elliptic operators and applications
- On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition
- Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates
- Classical Fourier Analysis
- An Extension Problem Related to the Fractional Laplacian
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
- The Dirichlet problem for elliptic equations with drift terms
- Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition
- Uniform Rectifiability, Elliptic Measure, Square Functions, and ε-Approximability Via an ACF Monotonicity Formula
- Elliptic theory in domains with boundaries of mixed dimension
- Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains
This page was built for publication: Absolute continuity of degenerate elliptic measure
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6639206)