Criteria of Biholomorphic Convex Mappings on the bounded convex balanced domain $D_p^n$

Abstract

In this paper, we first establish several general sufficient conditions for the biholomorphic convex mappings on the bounded convex balanced domain $D_p^n(p_j\ge 2,j=1,\cdots ,n)$ in $C^n$, which extend some related results of earlier authors. From these, some concrete examples of biholomorphic convex mappings on $D_p^n$ are also provided.

arXiv comment16 pages