Izvorni znanstveni članak

Convex mappings in several complex variables

Hidetaka Hamada
Gabriela Kohr

Sažetak

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.

Ključne riječi

Convexity; starlikeness; diffeomorphism

Hrčak ID:

6414

URI

https://hrcak.srce.hr/6414

Datum izdavanja:

1.12.1999.

Posjeta: 1.136 *