On Bloch's Theorem and the contraction mapping principle
Complex Variables
2017-02-24 v3
Abstract
In this paper we give a new proof, relying on Banach's contraction mapping principle, of a celebrated theorem of Andr\'e Bloch. Also, via the same contraction mapping principle, we give a proof of a Bloch type theorem for normalised Wu -mappings.
Cite
@article{arxiv.1702.01080,
title = {On Bloch's Theorem and the contraction mapping principle},
author = {Jean C. Cortissoz and Julio A. Montero},
journal= {arXiv preprint arXiv:1702.01080},
year = {2017}
}
Comments
If you have any comments, find any errors or have any suggestions (in this new version some errors have been corrected, and a better discussion of the case of several complex variables is given), please let us know