Volume 37 • Number 2 • 2014   • Sufficient Criteria for Biholomorphic Convex Mappings on $D_{p}$ in $C^n$ Jing-Hui Li and Ming-Sheng Liu Abstract. In this paper, two sufficient conditions for biholomorphic convex mappings on bounded convex balanced domain $D_{p}$ in $C^n$ are provided. From these, criteria for a biholomorphic convex mappings with particular form become direct. Moreover, some concrete biholomorphic convex mappings on $D_{p}$ are also provided. 2010 Mathematics Subject Classification: 32H05, 30C45 Full text: PDF