Lipschitz conditions and the distance ratio metrc

Slavko Simic, Matti Vuorinen


We give a study of the Lipschitz continuity of M\"obius
transformations of a punctured ball onto another punctured ball in
${\mathbb R}^n$ with respect to the distance ratio metric. Some
subtle methods are developed, helping to determine the best
possible j-Lip constant in this case.

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