Criteria for univalency and quasiconformal extension for harmonic mappings

DOI10.2996/KMJ44203zbMath1475.30048OpenAlexW3175604316MaRDI QIDQ1984260

Zhenyong Hu, JinHua Fan

Publication date: 13 September 2021

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj44203

zbMATH Keywords

Schwarzian derivativequasiconformal mappingharmonic mapping

Mathematics Subject Classification ID

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

Cites Work

• On the univalence of certain integral for harmonic mappings
• Pre-schwarzian and Schwarzian derivatives of harmonic mappings
• Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivative
• Quasiconformal reflections
• Stable geometric properties of analytic and harmonic functions
• Quasiconformal extension of harmonic mappings in the plane
• A Uniqueness Theorem for Beltrami Equations
• Schlichtheitskriterien und Jordangebiete.
• QUASICONFORMAL EXTENSIONS OF HARMONIC MAPPINGS WITH A COMPLEX PARAMETER
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• The Schwarzian derivative and schlicht functions
• Remarks on a paper by Zeev Nehari
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