Some Properties of the Beurling-Ahlfors Extension
- ISSN号:1674-5647
- 期刊名称:Communications In Mathematical Research
- 时间:2011.1
- 页码:289-296
- 分类:O11[理学—数学;理学—基础数学] TM864[电气工程—高电压与绝缘技术]
- 作者机构:[1]Department of Mathematics, Shenzhen University, Shenzhen, Guangdong, 518060, [2]School of Biomedical Engineering, Southern Medical University, Guangzhou, 510515
- 相关基金:Foundation item: The NSF (11101290) for Young Scientists of China, the NSF (11071179, 10871211) of China and Scientific Research Starting Foundation (00035242) of Shenzhen University.
- 相关项目:Teichmüller空间上度量的若干研究
中文摘要:
在这份报纸,我们学习 Beurling-Ahlfors 延期并且证明 Beurling-Ahlfors 延期的第一个变化不总是是的二 results.The 是泛音;印射的 quasisymmetric 的 Beurling-Ahlfors 延期不总是是泛音。
英文摘要:
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 quasisymmetric mapping is not always harmonic.