Quasi-invariant domain constants

DOI10.1007/BF02808014zbMath0795.30038MaRDI QIDQ1802334

Reuven Harmelin, David Minda

Publication date: 30 August 1994

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

zbMATH Keywords

hyperbolic metricuniformly perfect domains

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Conformal mappings of special domains (30C20) Classification theory of Riemann surfaces (30F20)

Related Items (12)

Intrinsic geometry and boundary structure of plane domains ⋮ A metric that better approximates the hyperbolic metric ⋮ Uniformly perfect sets and distortion of holomorphic functions ⋮ Behavior of domain constants under conformal mappings ⋮ A conformal invariant for nonvanishing analytic functions and its applications ⋮ Uniform domains, John domains and quasi-isotropic domains ⋮ Growth and coefficient estimates for uniformly locally univalent functions on the unit disk. ⋮ On the Bieberbach and Koebe constants for sector domains and sector disks ⋮ Spherical convexity and hyperbolic metric ⋮ Estimates for conformal metric ratios ⋮ Punishing factors for finitely connected domains ⋮ On the Koebe and Bieberbach constants for a hyperbolic planar domain

Cites Work

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• Hyperbolic geometry in k-convex regions
• Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains
• Uniformly perfect sets and the Poincaré metric
• Linear-invariante Familien analytischer Funktionen. I
• AN INTRODUCTION TO WELL-POSEDNESS AND FREE-EVOLUTION
• Complex Nonoscillation Theorems and Criteria of Univalence
• On The Zeros Of Solutions Of Second-Order Linear Differential Equations
• The Schwarzian derivative and schlicht functions

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