Conformal capacity and the quasihyperbolic metric
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Publication:5285257
DOI10.1512/iumj.1996.45.1966zbMath0862.30021OpenAlexW2059403042WikidataQ112014147 ScholiaQ112014147MaRDI QIDQ5285257
David A. Herron, Pekka Koskela
Publication date: 4 February 1997
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.1996.45.1966
quasihyperbolic metricHölder continuityquasiconformal mappingsconformal capacityuniform domainsextremal distance
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
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Uniform continuity of quasiconformal mappings onto generalized John domains ⋮ Mappings of finite distortion: reverse inequalities for the Jacobian ⋮ Egg-yolk principle for uniformizing Gromov hyperbolic domains ⋮ Uniformity and Loewner condtions of metric spaces ⋮ Boundary limits of monotone Sobolev functions for double phase functionals ⋮ Mappings of finite distortion: boundary extensions in uniform domains ⋮ Uniform domains and capacity ⋮ Uniform continuity of quasiconformal mappings and conformal deformations ⋮ Boundary growth of Sobolev functions of monotone type for double phase functionals ⋮ Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings
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