Original scientific paper

Convex mappings in several complex variables

Hidetaka Hamada
Gabriela Kohr

Abstract

Let B be the unit ball of Cn with respect to an arbitrary norm. We will give a sufficient condition for a local diffeomorphism of C1 class on B to be univalent and to have a convex image. Finally, we present an application on the complex ellipsoid B(p1, ... , pn), where p1, ... , pn ≥ 1.

Keywords

Convexity; starlikeness; diffeomorphism

Hrčak ID:

6414

URI

https://hrcak.srce.hr/6414

Publication date:

1.12.1999.

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