On non-uniqueness of weakly non-decreasable extremal dilatations
Volume 247 / 2019
Studia Mathematica 247 (2019), 241-250
MSC: Primary 30C75; Secondary 30C62.
DOI: 10.4064/sm8754-10-2018
Published online: 28 December 2018
Abstract
Z. Zhou et al. (2012) proved that in a Teichmüller equivalence class, there exists an extremal quasiconformal mapping with a weakly non-decreasable dilatation. In this paper, we prove that if a Teichmüller class contains more than one extremal dilatation, then it contains infinitely many weakly non-decreasable extremal dilatations.
