A geometric approach to the theory of normal families

DOI10.1007/s11785-022-01195-xzbMath1487.32014OpenAlexW4220943095MaRDI QIDQ2075614

Steven G. Krantz

Publication date: 15 February 2022

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

Full work available at URL: https://doi.org/10.1007/s11785-022-01195-x

zbMATH Keywords

invariant metricnormal familyholomorphic mapping

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Spaces of bounded analytic functions of one complex variable (30H05) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)

Cites Work

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• Boundary behaviour and normal meromorphic functions
• The Lindelöf principle and normal functions of several complex variables
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Normal families: a geometric perspective
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Normal families of holomorphic mappings

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