An example of a bounded $\Bbb C$-convex domain which is not biholomoprhic to a convex domain
Complex Variables
2010-06-23 v2
Abstract
We show that the symmetrized bidisc is a -convex domain. This provides an example of a bounded -convex domain which cannot be exhausted by domains biholomorphic to convex domains.
Cite
@article{arxiv.math/0608662,
title = {An example of a bounded $\Bbb C$-convex domain which is not biholomoprhic to a convex domain},
author = {Nikolai Nikolov and Peter Pflug and Wlodzimierz Zwonek},
journal= {arXiv preprint arXiv:math/0608662},
year = {2010}
}
Comments
7 pages. A slight extension of Proposition 3 in the second version