Equivalence between the boundary Harnack principle and the Carleson estimate
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Publication:3534737
DOI10.7146/math.scand.a-15069zbMath1163.35305OpenAlexW1909080984MaRDI QIDQ3534737
Publication date: 4 November 2008
Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7146/math.scand.a-15069
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Rectifiability of harmonic measure ⋮ Some boundary Harnack principles with uniform constants ⋮ The normal derivative lemma and surrounding issues ⋮ An inhomogeneous version of the Carleson estimate for singular/degenerate nonlinear equations ⋮ Dimension drop for harmonic measure on Ahlfors regular boundaries ⋮ On potential theory of Markov processes with jump kernels decaying at the boundary ⋮ Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I ⋮ Extended Harnack inequalities with exceptional sets and a boundary Harnack principle ⋮ Harmonic measure and Riesz transform in uniform and general domains ⋮ Asymptotic behavior of positive harmonic functions in certain unbounded domains ⋮ Rough isometry between Gromov hyperbolic spaces and uniformization ⋮ Boundary Harnack Principle and the Quasihyperbolic Boundary Condition ⋮ Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity ⋮ Boundary Harnack principle and elliptic Harnack inequality ⋮ Potential theoretic notions related to integrability of superharmonic functions and supertemperatures ⋮ Boundary Harnack inequality for Markov processes with jumps
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