Extensions of \(L^d\)-Loewner chains to higher dimensions

DOI10.1007/s11854-013-0024-zzbMath1284.32009OpenAlexW2001019791MaRDI QIDQ393424

Hidetaka Hamada, Gabriela Kohr, Jerry R. jun. Muir

Publication date: 17 January 2014

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-013-0024-z

zbMATH Keywords

starlike functionsextension operatorsLoewner theory

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items

Extensions of abstract Loewner chains and spirallikeness, Generalized roper-suffridge operator for \(\varepsilon\) starlike and boundary starlike mappings, The subordination principle and its application to the generalized Roper-Suffridge extension operator, An abstract approach to Loewner chains, Extension operators and automorphisms, Two-point distortion bounds for biholomorphic mappings of the ball in \(\mathbb C^n\), Extremal properties associated with univalent subordination chains in \(\mathbb C^n\), Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds, \(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces, Loewner chains, Bloch mappings and Pfaltzgraff-Suffridge extension operators on bounded symmetric domains, The Muir extension operator and Janowski univalent functions, Classical and Stochastic Löwner–Kufarev Equations

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