A Simple Topological Characterization of Regions of Bounded Type
Complex Variables
2007-05-23 v2
Abstract
We prove that there is a one-to-one, bounded, holomorphic function on a region iff is not totally disconnected. This paper has been withdrawn by the author since Theorem 3 is incorrect.
Keywords
Cite
@article{arxiv.math/0001180,
title = {A Simple Topological Characterization of Regions of Bounded Type},
author = {Ritabrata Munshi},
journal= {arXiv preprint arXiv:math/0001180},
year = {2007}
}
Comments
This paper has been withdrawn by the author since Theorem 3 is incorrect