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

Nikolai Nikolov; Peter Pflug; Wlodzimierz Zwonek

arxiv: math/0608662 · v2 · submitted 2006-08-27 · 🧮 math.CV

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

Nikolai Nikolov , Peter Pflug , Wlodzimierz Zwonek This is my paper

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keywords convexdomainboundeddomainsexamplebidiscbiholomoprhicbiholomorphic

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

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