@article{Shi2022, 
author = {Qingtian Shi},
title = {Equivalent characterizations of harmonic Teichmüller mappings},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {11015-11023},
keywords = {flat harmonic mapping, Teichmüller mapping, associated holomorphic quadratic differential, quasiconformal mapping},
url = {https://www.sciopen.com/article/10.3934/math.2022615},
doi = {10.3934/math.2022615},
abstract = {In this paper, three equivalent conditions of    ρ-harmonic Teichmüller mapping are given firstly. As an application, we investigate the relationship between a    ρ-harmonic Teichmüller mapping and its associated holomorphic quadratic differential and obtain a relatively simple method to prove Theorem 2.1 in [1]. Furthermore, the representation theorem of    1      /        |    ω            |              2      -harmonic Teichmüller mappings is given as a by-product. Our results extend the corresponding researches of harmonic Teichmüller mappings.}
}