Relative Riemann mapping criteria and hyperbolic convexity

DOI10.1090/S0002-9939-2011-11096-7zbMath1282.30004OpenAlexW2086294063MaRDI QIDQ2845052

Edward Crane

Publication date: 22 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11096-7

zbMATH Keywords

Riemann mappingquasidiscshyperbolic convexitycircle domainsconformal reflection

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Spherical and hyperbolic convexity (52A55) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• Möglichst konforme Spielung an einer Jordankurve. (Utmost conformal refection at a Jordan curve)
• Fixed points, Koebe uniformization and circle packings
• On an inequality for the hyperbolic measure and its applications in the theory of functions
• Hyperbolic convexity and the analytic fixed point function
• A reflection principle for the hyperbolic metric and applications to geometric function theory
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