2014/01/30 by Slavko Simić, Slavko Simic, Simic, Slavko
Mathematics · #30C20 #51M10 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #msc:30C20 #msc:51M10
paper · pdf · doi:10.48550/arxiv.1401.8014
6 pages, no figures
arxiv created 2014/01/30 · openalex publication_date 2014/01/30 · arxiv updated 2014/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a generalization for some \mathbb C domains of Gehring - Palka theorem on Moebius transformations regarding the distance ratio metric. Namely, we show that this theorem is valid for arbitrary holomorphic mappings f : H → H or f : D → D with the same Lipschitz constant 2.