Some Properties of the Beurling-Ahlfors Extension

Authors

  • Zongliang Sun
  • Shulong Li

Keywords:

Beurling-Ahlfors extension, first variation, harmonic map.

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.

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Published

2021-05-24

Issue

Vol. 27 No. 4 (2011)

Section

Articles