Abstract

A few biholomorphic convex mappings on the unit ball in C n for n > 1 are known. In this paper, we shall prove some sufficient conditions for biholomorphic convex mappings on Reinhardt domain B p n in C n . Some results of Roper and Suffridge, Hamada and Kohr on B 2 n are extended to B p n . From these, we may construct some concrete biholomorphic convex mappings on B p n .

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