English

Approximation and Loewner Theory of holomorphic covering mappings

Complex Variables 2023-06-16 v2

Abstract

We give conditions in order to approximate locally uniformly holomorphic covering mappings of the unit ball of Cn\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.

Keywords

Cite

@article{arxiv.1810.01782,
  title  = {Approximation and Loewner Theory of holomorphic covering mappings},
  author = {Matteo Fiacchi},
  journal= {arXiv preprint arXiv:1810.01782},
  year   = {2023}
}