scholarly journals Nevanlinna–Pick Problem and Uniqueness of Left Inverses in Convex Domains, Symmetrized Bidisc and Tetrablock

2015 ◽  
Vol 26 (3) ◽  
pp. 1863-1890 ◽  
Author(s):  
Łukasz Kosiński ◽  
Włodzimierz Zwonek
Keyword(s):  
Convex Domains ◽  
Symmetrized Bidisc ◽  
Pick Problem

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

2008 ◽  
Vol 102 (1) ◽  
pp. 149 ◽  
Author(s):  
Nikolai Nikolov ◽  
Peter Pflug ◽  
W{\l}odzimierz Zwonek
Keyword(s):  
Convex Domain ◽  
Convex Domains ◽  
Symmetrized Bidisc

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.

scholarly journals q ‐pseudoconvex and q ‐holomorphically convex domains

2019 ◽  
Vol 292 (12) ◽  
pp. 2619-2623
Author(s):  
George‐Ionuţ Ioniţă ◽  
Ovidiu Preda
Keyword(s):  
Convex Domains

scholarly journals Estimates for invariant metrics on $\mathbb C$-convex domains

2011 ◽  
Vol 363 (12) ◽  
pp. 6245-6256 ◽  
Author(s):  
Nikolai Nikolov ◽  
Peter Pflug ◽  
Włodzimierz Zwonek
Keyword(s):  
Invariant Metrics ◽  
Convex Domains
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