2021/01/23 by Iason Efraimidis, Efraimidis, Iason
Mathematics · Medicine · #30C55 #30C62 #31A05 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Numerical methods in inverse problems #Pelvic and Acetabular Injuries
paper · pdf · doi:10.48550/arxiv.2101.09561
openalex publication_date 2021/01/23 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
We prove that a harmonic quasiconformal mapping defined on a finitely\nconnected domain in the plane, all of whose boundary components are either\npoints or quasicircles, admits a quasiconformal extension to the whole plane if\nits Schwarzian derivative is small. We also make the observation that a\nunivalence criterion for harmonic mappings holds on uniform domains.\n