Lipschitz conditions and the distance ratio metric

2013/04/30 by Slavko Simić, Simić, Slavko, Матти Вуоринен +2
Mathematics · #30C20 #51M10 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematics and Applications #Meromorphic and Entire Functions #Metric Geometry (math.MG) #math.CV #math.MG #msc:30C20 #msc:51M10

paper · pdf · doi:10.48550/arxiv.1304.7994

10 pages

arxiv created 2013/04/30 · openalex publication_date 2013/04/30 · arxiv updated 2013/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give study the Lipschitz continuity of Möbius transformations of a punctured disk onto another punctured disk with respect to the distance ratio metric.

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• Sharp Lipschitz constants for the distance ratio metric
• Lipschitz constants for a hyperbolic type metric under Möbius transformations
• The distance ratio metric on some parts of \mathbb C plane
• The distance function and Lipschitz classes of mappings between metric spaces
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