Generalized John disks

DOI10.2478/s11533-013-0344-3zbMath1294.30037OpenAlexW2028594524WikidataQ110224758 ScholiaQ110224758MaRDI QIDQ2440579

Pekka Koskela, Chang Yu Guo

Publication date: 19 March 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0344-3

zbMATH Keywords

conformal mappinghyperbolic geodesicJohn domaininner uniform domain

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in the complex plane (30C62)

Related Items (7)

Fractional Sobolev-Poincaré inequalities in irregular domains ⋮ Global subrepresentation formulas in chain domains with irregular boundaries ⋮ Uniform continuity of quasiconformal mappings onto generalized John domains ⋮ Weakly quasisymmetric mappings and uniform domains on generalized Grushin planes ⋮ The properties of quasisymmetric mappings in metric spaces ⋮ Characterizations of John spaces ⋮ Generalized quasidisks and conformality II

Cites Work

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• An inequality in the theory of conformal mapping
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• John disks
• Quasiconformally homogeneous domains
• Sobolev-Poincaré implies John
• Geometric localization, uniformly John property and separated semihyperbolic dynamics
• Generalized quasidisks and conformality
• Rotation and strain
• Holder Domains and Poincare Domains
• Injectivity theorems in plane and space
• Generalized quasidisks and conformality II
• Mappings of finite distortion: Formation of cusps II

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