Bounds on spherical derivatives for maps into regions with symmetries

DOI10.1007/BF02787109zbMath0881.30029OpenAlexW2024520360MaRDI QIDQ2565381

William Cherry, Mario Bonk

Publication date: 17 February 1998

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

Full work available at URL: https://doi.org/10.1007/bf02787109

zbMATH Keywords

hyperbolic metricspherical densityminimum points

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Normal functions of one complex variable, normal families (30D45)

Related Items (3)

Non-statistical rational maps ⋮ On the spherical derivatives of Miranda functions ⋮ Estimation of the hyperbolic metric by using the punctured plane

Cites Work

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• Estimates for the hyperbolic metric
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• Universal covering maps for variable regions
• On an inequality for the hyperbolic measure and its applications in the theory of functions
• The hyperbolic metirc and bloch constants for spherically convex regions
• A reflection principle for the hyperbolic metric and applications to geometric function theory
• The Poincaré Metric on the Twice Punctured Plane and the Theorems of Landau and Schottky
• On Explicit Bounds in Landau's Theorem. II
• The minimum points of the hyperbolic metric
• Angles and Quasiconformal Mappings^†
• A Remark on Linear Elliptic Differential Equations of Second Order

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