Loewner Theory for Quasiconformal Extensions: Old and New

Ikkei HOTTA

doi:10.4036/iis.2019.A.01

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Geometric Function Theory and Applications

Loewner Theory for Quasiconformal Extensions: Old and New

Ikkei HOTTA

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Keywords: Loewner theory, quasiconformal mapping, evolution family, universal Teichmüller space, univalent function

JOURNAL FREE ACCESS

2019 Volume 25 Issue 1 Pages 1-21

DOI https://doi.org/10.4036/iis.2019.A.01

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Abstract

This survey article gives an account of quasiconformal extensions of univalent functions with its motivational background from Teichmüller theory and classical and modern approaches based on Loewner theory.

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