Quasihyperbolic boundary condition: compactness of the inner boundary

zbMath1296.30035MaRDI QIDQ351840

Päivi Lammi

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1371474552

zbMATH Keywords

quasihyperbolic metriccompactGromov boundaryinner boundaryGehring-Hayman theorem

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (4)

Weakly quasisymmetric maps and uniform spaces ⋮ Unnamed Item ⋮ Sphericalizations and applications in Gromov hyperbolic spaces ⋮ Geometric characterizations of Gromov hyperbolic Hölder domains

Cites Work

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• An inequality in the theory of conformal mapping
• Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Geometric characterizations of Gromov hyperbolicity
• Conformal structure on the boundary and geodesic flow of a \(\text{CAT}(-1)\)-space
• Gehring-Hayman theorem for conformal deformations
• Comparing the Floyd and ideal boundaries of a metric space
• Lipschitz classes and quasiconformla mappings
• Hölder continuity of conformal maps with quasiconformal extension
• Uniform continuity of quasiconformal mappings and conformal deformations
• Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings

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