A normality criterion for families of holomorphic mappings under a condition of uniform boundedness of their tangent mappings

DOI10.1016/J.BULSCI.2021.102994zbMath1470.32004OpenAlexW3161677538MaRDI QIDQ2037504

Tran Van Tan

Publication date: 8 July 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.102994

zbMATH Keywords

Nevanlinna theorynormal familyMarty theorem

Mathematics Subject Classification ID

Meromorphic functions of several complex variables (32A20) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Related Items (2)

A property of the spherical derivative of an entire curve in complex projective space ⋮ Higher-dimensional generalizations of some theorems on normality of meromorphic functions

Cites Work

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• Exceptional functions wandering on the sphere and normal families
• A criterion for normality in \(\mathbb{C}^ n\)
• Some projective distance inequalities for simplices in complex projective space
• Higher dimensional generalizations of some classical theorems on normal meromorphic functions
• Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves

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