Extremal quasiconformality vs rational approximation
Complex Variables
2019-12-20 v1
Abstract
We show that on most of the hyperbolic simply connected domains the weighted bounded rational approximation in a natural sup norm is possible only for a very sparse set of holomorphic functions (in contrast to integral approximation). The obstructions are caused by the features of extremal quasiconformality.
Cite
@article{arxiv.1912.08980,
title = {Extremal quasiconformality vs rational approximation},
author = {Samuel L. Krushkal},
journal= {arXiv preprint arXiv:1912.08980},
year = {2019}
}