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Remarks on the Scale-Invariant Cassinian Metric
Tekijät: Gendi Wang, Xiaoxue Xu, Matti Vuorinen
Kustantaja: MALAYSIAN MATHEMATICAL SCIENCES SOC
Julkaisuvuosi: 2020
Journal: Bulletin of the Malaysian Mathematical Sciences Society
Tietokannassa oleva lehden nimi: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Lehden akronyymi: B MALAYS MATH SCI SO
Sivujen määrä: 19
ISSN: 0126-6705
eISSN: 2180-4206
DOI: https://doi.org/10.1007/s40840-020-01011-9
Rinnakkaistallenteen osoite: https://arxiv.org/abs/1903.09099
Tiivistelmä
We study the geometry of the scale-invariant Cassinian metric and prove sharp comparison inequalities between this metric and the hyperbolic metric in the case when the domain is either the unit ball or the upper half space. We also prove sharp distortion inequalities for the scale-invariant Cassinian metric under Mobius transformations.
We study the geometry of the scale-invariant Cassinian metric and prove sharp comparison inequalities between this metric and the hyperbolic metric in the case when the domain is either the unit ball or the upper half space. We also prove sharp distortion inequalities for the scale-invariant Cassinian metric under Mobius transformations.
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