On quasiconformal extensions of harmonic mappings associated with pre-Schwarzian derivative
arXiv:2112.13653
Abstract
In this paper, we extend Ahlfors's univalent criteria and Ahlfors's quasiconformal extension for analytic functions to harmonic mappings defined in the unit disk. Moreover, we give a general quasiconformal extension of harmonic Teichmüller mappings, whose maximal dilatation estimate is asymptotically sharp.
17 pages