Estimates for the hyperbolic metric

DOI10.2996/kmj/1138037050zbMath0598.30036OpenAlexW2062976524MaRDI QIDQ1079693

David Minda

Publication date: 1985

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037050

zbMATH Keywords

hyperbolic metricAhlfors lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Geometric function theory (30C99)

Related Items (10)

Uniform domains, John domains and quasi-isotropic domains ⋮ Upper estimates for hyperbolic metrics on subdomains ⋮ Extremal problems of Bloch function spaces ⋮ Spherical convexity and hyperbolic metric ⋮ Estimation of the hyperbolic metric by using the punctured plane ⋮ Lower estimates for hyperbolic metrics on subdomains ⋮ Estimates for conformal metric ratios ⋮ An extension of Montel's three omitted values theorem ⋮ Distortion theorems for locally univalent Bloch functions ⋮ Bounds on spherical derivatives for maps into regions with symmetries

Cites Work

• Lower bounds for the hyperbolic metric in convex regions
• Bloch constants
• The hyperbolic metric and coverings of Riemann surfaces
• Uniformly perfect sets and the Poincaré metric
• Conformal mappings of domains bounded by quasiconformal circles
• The Poincaré Metric of Plane Domains
• An Extension of Schwarz's Lemma
• On the Bloch-Landau Constant
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