Geometric localization, uniformly John property and separated semihyperbolic dynamics

DOI10.1007/BF02559505zbMath0855.30022OpenAlexW2095144054MaRDI QIDQ1916302

Zoltán M. Balogh, Alexander Volberg

Publication date: 3 July 1996

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559505

zbMATH Keywords

doubling propertyexistence of localizations for John domainssemihyperbolic polynomial

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Boundary behavior of harmonic functions in higher dimensions (31B25) Polynomials and rational functions of one complex variable (30C10)

Related Items (7)

Approximate calculation of the defect of a Lipschitz cylindrical condenser ⋮ Quasisymmetry and quasihyperbolicity of mappings on John domains ⋮ Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces ⋮ Generalized John disks ⋮ Scale-invariant boundary Harnack principle in inner uniform domains ⋮ Doubling conditions for harmonic measure in John domains ⋮ Relatively and inner uniform domains

Cites Work

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• On the existence of boundary values for harmonic functions in several variables
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• A geometric localization theorem
• p-adic analog of the Kazhdan-Lusztig hypothesis
• John disks
• Comparisons of Kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Quasihyperbolic geodesics in John domains.
• An invariant measure for rational maps
• Julia and John

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