Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

The growth theorem of convex mappings on the unit ball in ${\mathbb{C}}^{n}$

Author(s): Hidetaka Hamada
Journal: Proc. Amer. Math. Soc. 127 (1999), 1075-1077.
MSC (1991): Primary 32H02; Secondary 30C45
MathSciNet review: 1618682
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Abstract: Let $\Vert \cdot \Vert$ be an arbitrary norm on ${\mathbb{C}}^{n}$ . Let be a normalized biholomorphic convex mapping on the unit ball in ${\mathbb{C}}^{n}$ with respect to the norm $\Vert \cdot \Vert$ . We will give an upper bound of the growth of .

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