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Estimates of the Carathéodory metric on the symmetrized polydisc |
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| Authors: | Nikolai Nikolov |
| Institution: | a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria b Institut für Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany c Institut de Mathématiques, Université de Toulouse et CNRS (UMR 5219) UFR MIG, 118 route de Narbonne, F-31062 Toulouse Cedex 9, France d Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland |
| Abstract: | Estimates for the Carathéodory metric on the symmetrized polydisc are obtained. It is also shown that the Carathéodory and Kobayashi distances of the symmetrized three-disc do not coincide. |
| Keywords: | Symmetrized polydisc Carathé odory distance and metric Kobayashi distance and metric Lempert function |
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