Николай Николов, Peter Pflug, Włodzimierz Zwonek
Abstract
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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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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.
Key concepts: Effective domain, Bounded function, Domain (mathematical analysis), Regular polygon, Convex domain, Mathematics, Proper convex function, Convex analysis