Some Properties of the Beurling-Ahlfors Extension

Some Properties of the Beurling-Ahlfors Extension

Year:    2011

Author:    Zongliang Sun, Shulong Li

Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 289–296

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19072

Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 289–296

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Beurling-Ahlfors extension first variation harmonic map.

Author Details

Zongliang Sun

Shulong Li