An example of a bounded $\mathsf C$-convex domain which is not biholomorphic to a convex domain

Nikolai Nikolov; Peter Pflug; W{\l}odzimierz Zwonek

doi:10.7146/math.scand.a-15056

An example of a bounded $\mathsf C$-convex domain which is not biholomorphic to a convex domain

Authors

Nikolai Nikolov
Peter Pflug
W{\l}odzimierz Zwonek

DOI:

https://doi.org/10.7146/math.scand.a-15056

Abstract

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

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Published

2008-03-01

How to Cite

Nikolov, N., Pflug, P., & Zwonek, W. (2008). An example of a bounded $\mathsf C$-convex domain which is not biholomorphic to a convex domain. MATHEMATICA SCANDINAVICA, 102(1), 149–155. https://doi.org/10.7146/math.scand.a-15056