Harmonic extensions of quasisymmetric maps

2014/05/06 by Anestis Fotiadis, Fotiadis, Anestis
Mathematics · #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1405.1319

openalex publication_date 2014/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Dirichlet problem for harmonic maps between hyperbolic planes, under the assumption that the Euclidean harmonic extension of the boundary map is quasiconformal.

Related

• Quasiconformal extension for harmonic mappings on finitely connected\n domains
• Harmonic extensions of quasiregular maps
• Harmonic maps between 3-dimensional hyperbolic spaces
• On quasiconformal harmonic maps between surfaces
• Harmonic maps from the product of the hyperbolic planes to the hyperbolic space