Properties of the Ahlfors function
Complex Variables
2021-06-30 v1 Functional Analysis
Abstract
The so called Ahlfors function is the solution to an extremal problem. In this thesis, we study several properties of this function in a most general domain Omega. We consider the Ahlfors function in the context of analytic capacity, and also relate it to Riemann maps of simply connected domains onto the unit disk. Our methods involve Gelfand representation of commutative Banach algebras and standard techniques from complex analysis.
Cite
@article{arxiv.2106.15317,
title = {Properties of the Ahlfors function},
author = {Anna-Mariya Otsetova},
journal= {arXiv preprint arXiv:2106.15317},
year = {2021}
}
Comments
This work was done as a bachelor thesis