Glasnik matematički, Vol. 34 No. 2, 1999.
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
Publication date:
1.12.1999.
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