2021/08/23 by Xiu-Shuang Ma, Ma, Xiu-Shuang
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Algebraic and Geometric Analysis
paper · pdf · doi:10.48550/arxiv.2108.10022
This note examines sufficient conditions for the quasiconformal extendibility of harmonic mappings defined in the unit disk. It is demonstrated that a harmonic strongly starlike mapping admits a quasiconformal extension to the entire plane, and an explicit formulation of its extension function is provided. Additionally, the quasiconformal extendibility of harmonic mappings defined in the exterior of the unit disk is explored.