Subordination chains and univalence of holomorphic mappings on bounded balanced pseudoconvex domains (Q2769246)

Let \(\Omega\) be a bounded balanced pseudoconvex domain in \(\mathbb{C}^n\) with \(C^1\) plurisubharmonic defining function. The authors introduce a subclass of univalent mappings on \(\Omega\), called the class of mappings which have the parametric representation, and study several of their properties, such as growth, covering and distortion. They give some corollaries and conjectures.