The Logarithm of the Poisson Kernel of a C 1 Domain has Vanishing Mean Oscillation
From MaRDI portal
Publication:3957209
DOI10.2307/1999942zbMath0494.31003OpenAlexW4231020542MaRDI QIDQ3957209
Carlos E. Kenig, David S. Jerison
Publication date: 1982
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1999942
Harmonic analysis in several variables (42B99) Boundary behavior of harmonic functions in higher dimensions (31B25)
Related Items
Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains ⋮ Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics ⋮ Divergence form operators in Reifenberg flat domains ⋮ Harmonic measure on locally flat domains ⋮ Harmonic measure in convex domains ⋮ A Minkowski problem for electrostatic capacity ⋮ Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure ⋮ Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains ⋮ Small-constant uniform rectifiability ⋮ Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates ⋮ On an inverse type problem for the heat equation in parabolic regular graph domains ⋮ Carleson conditions for asymptotic weights ⋮ Caloric measure in parabolic flat domains ⋮ Quasilinear elliptic equations with BMO coefficients in Lipschitz domains ⋮ Poisson kernel characterization of Reifenberg flat chord arc domains ⋮ Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains ⋮ Invertibility of operators on atomic subspaces of \(L^1\) and an application to the Neumann problem ⋮ Ideal weights: Asymptotically optimal versions of doubling, absolute continuity, and bounded mean oscillation