Some Properties of the Beurling-Ahlfors Extension

Author(s)

&

Abstract

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.

Keywords:

Beurling-Ahlfors extension first variation harmonic map.
About this article

Abstract View

  • 33221

Pdf View

  • 2851

How to Cite

Some Properties of the Beurling-Ahlfors Extension. (2021). Communications in Mathematical Research, 27(4), 289-296. https://global-sci.com/index.php/cmr/article/view/8704