Strongly quasiconformal extension of harmonic mappings

DOI10.1007/S40315-020-00326-9zbMath1476.30090OpenAlexW3043337566MaRDI QIDQ2048972

Shu'an Tang

Publication date: 24 August 2021

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-020-00326-9

zbMATH Keywords

quasiconformal extensionunivalent harmonic mapping

Mathematics Subject Classification ID

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

Cites Work

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• The theory of weights and the Dirichlet problem for elliptic equations
• Harmonic measure, \(L^ 2\) estimates and the Schwarzian derivative
• BMO-Teichmüller spaces
• Teichmüller spaces and BMOA
• Universal Teichmüller space and BMO
• Pre-schwarzian and Schwarzian derivatives of harmonic mappings
• Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivative
• Quasiconformal extension of harmonic mappings in the plane
• A Uniqueness Theorem for Beltrami Equations
• Quasiconformal Mappings and Chord-Arc Curves
• Hyperbolic derivatives and generalized Schwarz-Pick estimates
• Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.
• The Schwarzian derivative and schlicht functions

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