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Quasiconformality of harmonic extensions

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Publication:1301988
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DOI10.1016/S0377-0427(99)00009-6zbMath0951.30017MaRDI QIDQ1301988

Ken-Ichi Sakan, Dariusz Partyka

Publication date: 18 December 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

Poisson integralquasiconformal mappingsharmonic


Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)


Related Items (5)

Heinz type inequalities for mappings satisfying Poisson's equation ⋮ On quasiconformal harmonic surfaces with rectifiable boundary ⋮ Harmonic Teichmüller mappings ⋮ Quasiconformal harmonic mappings between \(C^{1,\mu}\) Euclidean surfaces ⋮ On boundary correspondences under quasiconformal harmonic mappings between smooth Jordan domains




Cites Work

  • Planar Harmonic Maps with Inner and Blaschke Dilatations
  • On multipliers preserving convergence of trigonometric series almost everywhere
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