Lipschitz conditions and the distance ratio metric
Slavko Simi\'c, Matti Vuorinen
TL;DR
This paper investigates the Lipschitz continuity of Möbius transformations between punctured disks using the distance ratio metric, providing insights into their geometric properties.
Contribution
It offers a new analysis of Lipschitz conditions for Möbius transformations with respect to the distance ratio metric.
Findings
Characterization of Lipschitz continuity for Möbius transformations
Conditions under which transformations are Lipschitz continuous
Insights into geometric behavior of punctured disks
Abstract
We give study the Lipschitz continuity of M\"obius transformations of a punctured disk onto another punctured disk with respect to the distance ratio metric.
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Taxonomy
TopicsAnalytic and geometric function theory · Mathematics and Applications · Meromorphic and Entire Functions