An existence theorem for harmonic homeomorphisms with a given range and some convergence theorems

DOI10.1080/17476930601140335zbMath1117.30017OpenAlexW2085552789MaRDI QIDQ5297064

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Publication date: 18 July 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930601140335

zbMATH Keywords

convergence theoremsboundary behaviorunivalent harmonic mappings

Mathematics Subject Classification ID

Geometric function theory (30C99) Quasiconformal mappings in the complex plane (30C62)

Related Items (4)

Slit univalent harmonic mappings ⋮ Bounded harmonic mappings ⋮ Local decomposition of planar harmonic mappings ⋮ Extensions of harmonic functions of the complex plane slit along a line segment

Cites Work

• Unnamed Item
• A class of isoperimetric inequalities
• Harmonic Mappings with Given Dilatation
• Harmonic Mappings onto Convex Domains
• Boundary correspondence and dilatation of harmonic mappings
• On the non-vanishing of the Jacobian in certain one-to-one mappings

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