Estimates of the Carathéodory metric on the symmetrized polydisc

Details Estimates of the Carathéodory metric on the symmetrized polydisc Estimates of the Carathéodory metric on the symmetrized polydisc

2006-08-21

arxiv.org/abs/math/0608496v2

J. Math. Anal. Appl. 342 (2008), 140-148

Mathematics

Complex Variables

12 pages. The missing inequality (1) is added in the second version

Scientific paper

Estimates for the Carath\'eodory metric on the symmetrized polydisc are
obtained. It is also shown that the Carath\'eodory and Kobayashi distances of
the symmetrized three-disc do not coincide.

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