Normal holomorphic mappings and classical theorems of function theory

DOI10.1017/S0027763000020857zbMath0533.32013MaRDI QIDQ3315778

Ken-ichi Funahashi

Publication date: 1984

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

zbMATH Keywords

normal familyhyperbolic manifoldsasymptotic valuebig Picard theoremLindelöf theoremholomorphic automorphism grouphomogeneous bounded domainangular limitnormal holomorphic mapping

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Complex Lie groups, group actions on complex spaces (32M05) Special families of functions of several complex variables (32A17) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items

Unifying the little Picard, Lohwater-Pommerenke and Brody theorems ⋮ The Lindelöf principle in \(\mathbb C^{n }\) ⋮ Extension and convergence theorems for families of normal maps in several complex variables ⋮ Schottky-Landau growth estimates for \(s\)-normal families of holomorphic mappings ⋮ Hyperbolic embeddedness and extension-convergence theorems of \(J\)-holomorphic curves

Cites Work

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• Boundary behaviour and normal meromorphic functions
• Hyperbolically imbedded spaces and the big Picard theorem
• On families of meromorphic maps into the complex projective space