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An example of a bounded $\Bbb C$-convex domain which is not biholomoprhic to a convex domain

Nikolai Nikolov·Peter Pflug·Wlodzimierz Zwonek
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Abstract

We show that the symmetrized bidisc is a $\Bbb C$-convex domain. This provides an example of a bounded $\Bbb C$-convex domain which cannot be exhausted by domains biholomorphic to convex domains.

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Nikolai Nikolov, Peter Pflug, Wlodzimierz Zwonek. 2006-08-27. An example of a bounded $\Bbb C$-convex domain which is not biholomoprhic to a convex domain. https://arxiv.org/abs/math/0608662

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