Distance Ratio Metric on the Unit Disk
DOI:
https://doi.org/10.24297/jam.v6i3.3662Keywords:
Lipschitz constant, analytic functionsAbstract
We prove Lipschitz continuity of arbitrary analytic mapping f : D --> D regarding the distance ratio metric with the Lipschitz constant C = 2. This represents a generalization for the unit disk domain of Gehring - Palka theorem on Mobius transformations.
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Published
2014-02-22
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All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Distance Ratio Metric on the Unit Disk. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 6(3), 1056-1060. https://doi.org/10.24297/jam.v6i3.3662
