Unifying the little Picard, Lohwater-Pommerenke and Brody theorems

DOI10.1016/j.jmaa.2006.05.045zbMath1115.30038OpenAlexW2038667976MaRDI QIDQ864692

Myung H. Kwack

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.045

zbMATH Keywords

hyperbolicnormaluniformly normallittle PicardLohwater--PommerenkeRobinson--Zalcman principle

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45)

Cites Work

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• Boundary behaviour and normal meromorphic functions
• The Lindelöf principle and normal functions of several complex variables
• A criterion for normality in \(\mathbb{C}^ n\)
• Schottky-Landau growth estimates for \(s\)-normal families of holomorphic mappings
• Hyperbolic imbedding and spaces of continuous extensions of holomorphic maps
• Normal families
• Normal holomorphic mappings and classical theorems of function theory
• Higher dimensional generalizations of some classical theorems on normal meromorphic functions
• An Extension Theorem for Normal Functions
• Extension and convergence theorems for families of normal maps in several complex variables
• A Characterization of Hyperbolic Manifolds
• Some classical theorems and families of normal maps in several complex variables
• Normal families of holomorphic mappings

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