Sharp Lipschitz Constants for the Distance Ratio Metric

• Autores: Slavko Simic, Matti Vuorinen, Wendi Wang
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 116, Nº 1, 2015, págs. 86-103
• Idioma: inglés
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• Resumen

  • We study expansion/contraction properties of some common classes of mappings of the Euclidean space $\mathsf{R}^n$, $n\ge 2$, with respect to the distance ratio metric. The first main case is the behavior of Möbius transformations of the unit ball in $\mathsf{R}^n$ onto itself. In the second main case we study the polynomials of the unit disk onto a subdomain of the complex plane. In both cases sharp Lipschitz constants are obtained.