Loewner chains and quasiconformal extension of holomorphic mappings

DOI10.4064/ap81-1-8zbMath1030.30020OpenAlexW1977107954MaRDI QIDQ4484551

Gabriela Kohr, Hidetaka Hamada

Publication date: 12 June 2003

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap81-1-8

zbMATH Keywords

quasiconformal extensionLoewner chain

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (13)

Support points and extreme points for mappings with \(A\)-parametric representation in \(\mathbb C^n\) ⋮ Close-to-harmonic extensions on the plane ⋮ Homeomorphic extension of strongly spirallike mappings in \(\mathbb C^n\) ⋮ Convex subordination chains and injective mappings in \(\mathbb C^n\) ⋮ Univalence criteria starting from the method of Loewner chains ⋮ Loewner chains and parametric representation in several complex variables ⋮ Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\) ⋮ Univalence criterion and quasiconformal extension of holomorphic mappings ⋮ Spiralshapelike mappings in several complex variables ⋮ Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\) ⋮ Solutions for the generalized Loewner differential equation in several complex variables ⋮ Pluriharmonic mappings in \(\mathbb{C}^n\) and complex Banach spaces ⋮ Quasiconformal extension of biholomorphic mappings in several complex variables

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