TY - JOUR T1 - Some Properties of the Beurling-Ahlfors Extension AU - Sun , Zongliang AU - Li , Shulong JO - Communications in Mathematical Research VL - 4 SP - 289 EP - 296 PY - 2021 DA - 2021/05 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19072.html KW - Beurling-Ahlfors extension, first variation, harmonic map. AB -
In this paper, we study the Beurling-Ahlfors extensions and prove two results. The first variation of the Beurling-Ahlfors extension is not always harmonic; the Beurling-Ahlfors extension of a quasi-symmetric mapping is not always harmonic.