Approximation and Loewner Theory of holomorphic covering mappings

Abstract

We give conditions in order to approximate locally uniformly holomorphic covering mappings of the unit ball of ${\mathbb{C}}^n$ with respect to an arbitrary norm, with entire holomorphic covering mappings. The results rely on a generalization of the Loewner theory for covering mappings which we develop in the paper.

References in corpus (1)

• The embedding conjecture and the approximation conjecture in higher dimension