QUASICONFORMAL EXTENSIONS OF HARMONIC MAPPINGS WITH A COMPLEX PARAMETER

DOI10.1017/S1446788716000355zbMath1376.30017MaRDI QIDQ5273444

Xingdi Chen, Yuqin Que

Publication date: 6 July 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

harmonic mappingTeichmüller mappingquasiconformal extensionharmonic quasiconformal mapping

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (4)

Close-to-harmonic extensions on the plane ⋮ Quasiconformal extension of integral transforms of analytic and harmonic mappings ⋮ Normality of the $p$-harmonic and $\log$-$p$-harmonic mappings ⋮ Criteria for univalency and quasiconformal extension for harmonic mappings

Cites Work

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• Harmonic Teichmüller mappings
• The Schwarzian derivative for harmonic mappings
• Pre-schwarzian and Schwarzian derivatives of harmonic mappings
• Quasiconformal extension of harmonic mappings in the plane
• Schlichtheitskriterien und Jordangebiete.
• Ellipses, near ellipses, and harmonic Möbius transformations
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.

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