Zalcman's lemma in Cn

DOI10.1080/17476933.2019.1627529zbMath1442.32005OpenAlexW2953601904WikidataQ124852893 ScholiaQ124852893MaRDI QIDQ4960396

Peter V. Dovbush

Publication date: 15 April 2020

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1627529

zbMATH Keywords

normal familiesZalcman's lemmaholomorphic functions of several complex variables

Mathematics Subject Classification ID

Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Related Items (9)

On normal families in Cⁿ ⋮ On Lappan's five-valued theorem for \(\phi \)-normal functions of several variables ⋮ Normal holomorphic mappings in complex space ⋮ Applications of Zalcman's lemma in \(C^N\) ⋮ Meromorphic solutions of generalized inviscid Burgers' equations and related PDEs ⋮ On a normality criterion of W. Schwick ⋮ On normal functions in several complex variables ⋮ An improvement of Zalcman's lemma in C^n ⋮ Zalcman–Pang's lemma in C^N

Cites Work

• Unnamed Item
• Normal functions of many complex variables
• A criterion for normality in \(\mathbb{C}^ n\)
• Nevanlinna theory, normal families, and algebraic differential equations
• Bloch Functions in Several Complex Variables, I
• Compact Manifolds and Hyperbolicity
• A Heuristic Principle in Complex Function Theory
• Families of Normal Maps in Several Complex Variables and Hyperbolicity of Complex Spaces
• Some classical theorems and families of normal maps in several complex variables

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