A Schwarz–Pick Theorem for higher-order hyperbolic derivatives

DOI10.1090/S0002-9939-2010-10488-4zbMath1217.30039MaRDI QIDQ3082291

Patrice Rivard

Publication date: 10 March 2011

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

zbMATH Keywords

hyperbolic derivativeSchwarz-Pick theoremhyperbolic divided difference

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 (4)

Some applications of higher-order hyperbolic derivatives ⋮ Rigidity of holomorphic mappings from local and global viewpoints ⋮ Multipoint Julia theorems ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

• Unnamed Item
• On hyperbolic divided differences and the Nevanlinna-Pick problem
• A multi-point Schwarz-Pick lemma
• Invariant differential operators associated with a conformal metric
• Schwarz-Pick-type estimates for the hyperbolic derivative
• The Schwarz-Pick Lemma for derivatives

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