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Heinz type inequalities for Poisson integrals

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Publication:2255470
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DOI10.1007/s40315-014-0047-1zbMath1314.30047OpenAlexW2093168850WikidataQ59396571 ScholiaQ59396571MaRDI QIDQ2255470

Dariusz Partyka, Ken-Ichi Sakan

Publication date: 17 February 2015

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

Full work available at URL: https://doi.org/10.1007/s40315-014-0047-1

zbMATH Keywords

quasiconformal mappingsharmonic mappingsquasiregular mappings


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

Heinz type inequalities for mappings satisfying Poisson's equation, Quasiconformal solutions to elliptic partial differential equations, Radó-Kneser-Choquet theorem for harmonic mappings between surfaces, Quasiconformal mappings with controlled Laplacian and Hölder continuity



Cites Work

  • On one-to-one harmonic mappings
  • Integrability of the derivative of the Riemann mapping function for wedge domains
  • On Harmonic Diffeomorphisms of the Unit Disc onto a Convex Domain
  • Quasiconformal and Lipschitz harmonic mappings of the unit disk onto bounded convex domains
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