Normal holomorphic mappings in complex space

DOI10.1007/s11785-023-01457-2OpenAlexW4391175054WikidataQ129449517 ScholiaQ129449517MaRDI QIDQ6196064

Peter V. Dovbush, Steven G. Krantz

Publication date: 14 March 2024

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-023-01457-2

zbMATH Keywords

normal familydomainnormal functionKobayashi/Royden metric

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Special families of functions of several complex variables (32A17) Boundary behavior of holomorphic functions of several complex variables (32A40) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Holomorphic functions of several complex variables (32A10) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Cites Work

• Unnamed Item
• Boundary behaviour and normal meromorphic functions
• The Lindelöf principle and normal functions of several complex variables
• Lindelöf theorem in \(C^ n\).
• Normal functions of many complex variables
• Hyperbolically imbedded spaces and the big Picard theorem
• The Hyperbolicity of the Complement of 2n + 1 Hyperplanes in General Position in P n , and Related Results
• Holomorphic Maps to Complex Tori
• Zalcman's lemma in Cⁿ
• On families of meromorphic maps into the complex projective space

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