Construction of biholomorphic convex mappings on \(D_p\) in \(\mathbb{C}^n\)
The authors are concerned with various sufficient conditions for convexity of biholomorphic mappings on the Reinhardt domain \(D_p=\{(z_1,\dots,z_n)\in\mathbb{C}^n: \sum_{j=1}^n|z_j|^{p_j}<1\}\), where \(p_j>1\) for \(j=1,\dots,n\). Concrete examples of convex (biholomorphic) mappings on \(D_p\) are also provided. Their results are generalizations of previous results due to Yu-Can Zhu, J. Muir and T. J. Suffridge.
scientific article; zbMATH DE number 5566205