The Schwarz-Pick Lemma for derivatives

DOI10.1090/S0002-9939-97-03906-3zbMath0883.30018OpenAlexW1562948959WikidataQ124851543 ScholiaQ124851543MaRDI QIDQ4372365

Alan F. Beardon

Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03906-3

zbMATH Keywords

hyperbolic metricSchwarz-Pick lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items

Two hyperbolic Schwarz lemmas ⋮ A multi-point Schwarz-Pick lemma ⋮ Hyperbolic distortion of conformal maps at corners ⋮ A new Schwarz-Pick lemma at the boundary and rigidity of holomorphic maps ⋮ Some refined Schwarz-Pick lemmas ⋮ Dieudonné points of holomorphic self-maps of regions ⋮ Schwarz-Pick-type estimates for the hyperbolic derivative ⋮ A Schwarz–Pick Theorem for higher-order hyperbolic derivatives ⋮ Multipoint Julia theorems ⋮ Isometries of the Bloch space among the composition operators ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

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