Schottky-Landau growth estimates for \(s\)-normal families of holomorphic mappings

DOI10.1007/BF01444708zbMath0766.32005MaRDI QIDQ1204148

Mikhail Zaidenberg

Publication date: 3 March 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164950

zbMATH Keywords

holomorphic functionsnormal familiesnormal mappingsSchottky-Landau-Hayman growth estimates

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Special families of functions of several complex variables (32A17) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (4)

The Lindelöf principle for holomorphic functions of infinitely many variables ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary behaviour and normal meromorphic functions
• The Lindelöf principle and normal functions of several complex variables
• Picard's theorem and hyperbolicity
• Characteristic properties of Bloch functions
• Transcendental solutions of diophantine equations
• Some boundary properties of normal functions bounded on nontangential ares
• Compact Manifolds and Hyperbolicity
• On Explicit Bounds In Landau's Theorem
• Sur les cercles de remplissage non-euclidiens
• Normal holomorphic mappings and classical theorems of function theory
• Asymptotic Behavior of Normal Mappings of Several Complex Variables
• An Extension Theorem for Normal Functions
• Precise Bounds in the Theorems of Schottky and Picard
• The Hyperbolicity of the Complement of 2n + 1 Hyperplanes in General Position in P n , and Related Results
• Holomorphic Mappings into Projective Space with Lacunary Hyperplanes
• On Explicit Bounds In Schottky's Theorem

This page was built for publication: Schottky-Landau growth estimates for \(s\)-normal families of holomorphic mappings