Loewner chains and parametric representation of biholomorphic mappings in complex Banach spaces

DOI10.3336/GM.39.1.06zbMath1052.58009OpenAlexW2044684802MaRDI QIDQ4818310

Hidetaka Hamada, Gabriela Kohr

Publication date: 28 September 2004

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3336/gm.39.1.06

zbMATH Keywords

biholomorphic mappingsunivalence criteriaparametric representationLoewner chainsLoewner differential equationspirallikenessclose-to-starlike function(close-to-)starlikenessnormalized (close-to-)convex functionunivalent Schwarz mapping

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic maps on manifolds (58C10) General theory of univalent and multivalent functions of one complex variable (30C55) Questions of holomorphy and infinite-dimensional manifolds (58B12)

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