A Strengthening of the Schwarz-Pick Inequality

DOI10.2307/2325054zbMath0753.30015OpenAlexW2055186479MaRDI QIDQ4013193

T. K. Carne, Alan F. Beardon

Publication date: 27 September 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2325054

zbMATH Keywords

contractionisometryinequalityhyperbolic metricSchwarz-Pick Lemmahyperbolic change of scaleiteration of self-maps

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (8)

A multi-point Schwarz-Pick lemma ⋮ Classifying simply connected wandering domains ⋮ A note on the Schwarz lemma for harmonic functions ⋮ On a multi-point Schwarz-Pick lemma ⋮ Some refined Schwarz-Pick lemmas ⋮ Multipoint Julia theorems ⋮ On a strengthened Schwarz-Pick inequality ⋮ The Schwarz Lemma: Rigidity and Dynamics

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