Criteria of Biholomorphic Convex Mappings on the bounded convex balanced domain D_pⁿ

2015/11/22 by Ni Li, Ming-Sheng Liu, Li, Ni +1
Mathematics · #32H02 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32H02

paper · pdf · doi:10.48550/arxiv.1511.06946

16 pages

arxiv created 2015/11/22 · arxiv updated 2015/11/24

Abstract

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

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