On a multiplier operator induced by the Schwarzian derivative of univalent functions
Complex Variables
2024-07-09 v9
Abstract
In this paper we study a multiplier operator which is induced by the Schwarzian derivative of univalent functions with a quasiconformal extension to the extended complex plane. As applications, we show that the Brennan conjecture is satisfied for a large class of quasidisks. We also establish a new characterization of asymptotically conformal curves and of the Weil-Petersson curves in terms of the multiplier operator.
Keywords
Cite
@article{arxiv.2211.01742,
title = {On a multiplier operator induced by the Schwarzian derivative of univalent functions},
author = {Jianjun Jin},
journal= {arXiv preprint arXiv:2211.01742},
year = {2024}
}
Comments
Accepted by Bull London Math Soc