Estimates of the Carath\'eodory metric on the symmetrized polydisc
Complex Variables
2010-06-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0608496,
title = {Estimates of the Carath\'eodory metric on the symmetrized polydisc},
author = {N. Nikolov and P. Pflug and P. J. Thomas and W. Zwonek},
journal= {arXiv preprint arXiv:math/0608496},
year = {2010}
}
Comments
12 pages. The missing inequality (1) is added in the second version