Some refined Schwarz-Pick lemmas

DOI10.1307/mmj/1039029986zbMath1026.32023OpenAlexW2013643621WikidataQ125037686 ScholiaQ125037686MaRDI QIDQ1396338

H. Turgay Kaptanoğlu

Publication date: 30 June 2003

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

Full work available at URL: https://doi.org/10.1307/mmj/1039029986

zbMATH Keywords

holomorphic mappingsBergman distanceMöbius automorphismSchwarz-type theorems

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (8)

Some applications of higher-order hyperbolic derivatives ⋮ Boundary Schwarz lemma for harmonic and pluriharmonic mappings in the unit ball ⋮ On a multi-point Schwarz-Pick lemma ⋮ An improved Schwarz lemma at the boundary ⋮ Schwarz-Pick-type estimates for the hyperbolic derivative ⋮ Multipoint Julia theorems ⋮ ESTIMATES OF THE SECOND DERIVATIVE OF BOUNDED ANALYTIC FUNCTIONS ⋮ The Schwarz Lemma: Rigidity and Dynamics

Cites Work

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• Sharpened versions of the Schwarz lemma
• A new variant of the Schwarz-Pick-Ahlfors lemma
• A Strengthening of the Schwarz-Pick Inequality
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• The Schwarz-Pick Lemma for derivatives
• A sharp Schwarz inequality on the boundary

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