Boundary correspondence and dilatation of harmonic mappings

DOI10.1080/17476939708815015zbMath0892.30022OpenAlexW2050212835MaRDI QIDQ4714374

Peter Duren, Dmitry Khavinson

Publication date: 29 June 1998

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939708815015

zbMATH Keywords

dilatationconvex domainquasiconformal mappingboundary correspondenceharmonic mappingHopf's lemma

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Geometric function theory (30C99) Quasiconformal mappings in the complex plane (30C62)

Related Items (10)

Geometric properties of harmonic shears ⋮ Curvature properties of planar harmonic mappings ⋮ An existence theorem for harmonic homeomorphisms with a given range and some convergence theorems ⋮ Harmonic Teichmüller mappings ⋮ Singular behavior of harmonic maps near corners ⋮ Radó-Kneser-Choquet theorem for harmonic mappings between surfaces ⋮ Quasiconformal harmonic mappings between \(C^{1,\mu}\) Euclidean surfaces ⋮ On a problem of the constructive theory of harmonic mappings ⋮ Valence of complex-valued planar harmonic functions ⋮ Boundary Behavior of Univalent Harmonic Mappings

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