Doubling conditions for harmonic measure in John domains
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Publication:931890
DOI10.5802/aif.2357zbMath1151.31004OpenAlexW2507985857MaRDI QIDQ931890
Hiroaki Aikawa, Kentaro Hirata
Publication date: 4 July 2008
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_2_429_0
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25)
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Cites Work
- Unnamed Item
- Martin boundary points of a John domain and unions of convex sets
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Quasiextremal distance domains and extension of quasiconformal mappings
- Uniform domains
- Uniform domains and the quasi-hyperbolic metric
- A boundary Harnack principle in twisted Hölder domains
- Martin boundary of a fractal domain
- Geometric localization, uniformly John property and separated semihyperbolic dynamics
- Boundary Harnack principle for separated semihyperbolic repellers, harmonic measure applications
- Lipschitz classes and quasiconformla mappings
- On Strong Barriers and an Inequality of Hardy for Domains in R n
- Relatively and inner uniform domains
- Harmonic measure and hyperbolic distance in John disks
- HÖLDER CONTINUITY OF THE DIRICHLET SOLUTION FOR A GENERAL DOMAIN
- Boundary Harnack principle and Martin boundary for a uniform domain
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