Criteria for univalence and quasiconformal extension for harmonic mappings on planar domains

DOI10.5186/aasfm.2021.4669zbMath1475.30047arXiv2009.14766OpenAlexW3199925635MaRDI QIDQ4958756

Iason Efraimidis

Publication date: 15 September 2021

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

Full work available at URL: https://arxiv.org/abs/2009.14766

zbMATH Keywords

Schwarzian derivativeharmonic mappingsunivalence criterionquasiconformal extension

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62)

Related Items (2)

Quasiconformal extension for harmonic mappings on finitely connected domains ⋮ Ahlfors-Weill extensions for harmonic mappings

Cites Work

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• The Schwarzian derivative for harmonic mappings
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• Linear-invariante Familien analytischer Funktionen. I
• Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivative
• Quasiconformal reflections
• Quasiconformal extension of harmonic mappings in the plane
• Univalence Criteria in Multiply-Connected Domains
• Injectivity theorems in plane and space
• Hyperbolic derivatives and generalized Schwarz-Pick estimates

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