Authors: | Simić, Slavko Vuorinen, Matti |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Lipschitz conditions and the distance ratio metric | Journal: | Filomat | Volume: | 29 | Issue: | 9 | First page: | 2137 | Last page: | 2146 | Issue Date: | 1-Jan-2015 | Rank: | M21 | ISSN: | 0354-5180 | DOI: | 10.2298/FIL1509137S | Abstract: | We give a study of the Lipschitz continuity of Möbius transformations of a punctured ball onto another punctured ball in Rn with respect to the distance ratio metric. Some subtle methods are developed, helping to determine the best possible j-Lip constant in this case. |
Keywords: | Distance-ratio metric | Lipschitz constants | Möbius transformation | Publisher: | Faculty of Sciences and Mathematics, University of Niš | Project: | Academy of Finland, Project number 2600066611 |
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