Extremal distance and conformal mappings in Hardy and Bergman spaces
Complex Variables
2023-02-02 v1
Abstract
We prove necessary and sufficient integral conditions involving extremal distance for a conformal mapping of the unit disk to belong to the Hardy or weighted Bergman spaces. We also give characterizations for the Hardy number and the Bergman number of a simply connected domain in terms of extremal distance.
Keywords
Cite
@article{arxiv.2302.00638,
title = {Extremal distance and conformal mappings in Hardy and Bergman spaces},
author = {Christina Karafyllia},
journal= {arXiv preprint arXiv:2302.00638},
year = {2023}
}
Comments
13 pages, 3 figures