On discs in bidiscs

Let Δ be the open unit disc in C. We show that there is no continuous map F:Δ‾→Δ‾2, holomorphic on Δ and such that F(bΔ)=b(Δ2).

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2020-08, Vol.488 (1), p.124061, Article 124061
Main Author: Globevnik, Josip
Format: Article
Language:English
Subjects:
Holomorphic discs
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Description
Summary:Let Δ be the open unit disc in C. We show that there is no continuous map F:Δ‾→Δ‾2, holomorphic on Δ and such that F(bΔ)=b(Δ2).
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124061