Domains with growth conditions for the quasihyperbolic metric

DOI10.1007/BF02791225zbMath0971.30026MaRDI QIDQ5926433

Yasuhiro Gotoh

Publication date: 30 October 2001

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

zbMATH Keywords

quasihyperbolic metric

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (3)

Quasihyperbolic growth conditions and compact embeddings of Sobolev spaces ⋮ Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains ⋮ Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings

Cites Work

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• The quasihyperbolic metric and associated estimates on the hyperbolic metric
• Uniform domains and the quasi-hyperbolic metric
• Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
• Quasiconformally homogeneous domains
• Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions
• Holder Domains and Poincare Domains
• Lipschitz classes and quasiconformla mappings
• Quasiconformal and Bi-Lipschitz Homeomorphisms, Uniform Domains and the Quasihyperbolic Metric
• A Geometric Characterization of Hölder Domains
• Exponential integrability of the quasi-hyperbolic metric on Hölder domains

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