Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings

DOI10.1007/BF02787823zbMath1092.30037OpenAlexW3022383638WikidataQ110037984 ScholiaQ110037984MaRDI QIDQ816471

Pekka Koskela, Stanislav Hencl

Publication date: 9 March 2006

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02787823

zbMATH Keywords

quasiconformal mappingsuniform continuity

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Capacity and harmonic measure in the complex plane (30C85) Quasiconformal mappings in the complex plane (30C62) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (9)

Uniform continuity of quasiconformal mappings onto generalized John domains ⋮ Quasihyperbolic boundary condition: compactness of the inner boundary ⋮ Sharp capacity estimates in S-John domains ⋮ Conformal metrics and boundary accessibility ⋮ Global integrability of the derivative of a quasiconformal mapping ⋮ Uniform continuity of quasiconformal mappings and conformal deformations ⋮ Quasiconformal mappings and singularity of boundary distortion ⋮ Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains ⋮ Geometric characterizations of Gromov hyperbolic Hölder domains

Cites Work

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• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Lectures on \(n\)-dimensional quasiconformal mappings
• Holder Domains and Poincare Domains
• Lipschitz classes and quasiconformla mappings
• The Gehring–Hayman inequality for quasihyperbolic geodesics
• Hölder continuity of conformal maps with quasiconformal extension
• Conformal capacity and the quasihyperbolic metric
• Domains with growth conditions for the quasihyperbolic metric
• Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings

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