| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Lipschitz continuity of the distance ratio metric on the unit disk | Journal: | Filomat | Volume: | 27 | Issue: | 8 | First page: | 1505 | Last page: | 1509 | Issue Date: | 3-Dec-2013 | Rank: | M21 | ISSN: | 0354-5180 | DOI: | 10.2298/FIL1308505S | Abstract: | For maps of analytic functions f: D → D, f (0) = a ∈ D, we prove their Lipschitz continuity regarding the distance ratio metric with a Lipschitz constant C depending only on a. Question of the best possible C = C(a) remains open. |
Keywords: | Analytic functions | Lipschitz constant | Publisher: | Faculty of Sciences and Mathematics, University of Niš |
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