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Some Properties of the Beurling-Ahlfors Extension

Some Properties of the Beurling-Ahlfors Extension
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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. 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.
作者 SUN ZONG-LIANG LI SHU-LONG
机构地区 Department of Mathematics School of Biomedical Engineering
出处 《Communications in Mathematical Research》 CSCD 2011年第4期289-296,共8页 数学研究通讯（英文版）
基金 The NSF (11101290) for Young Scientists of China,the NSF (11071179,10871211) of China Scientific Research Starting Foundation (00035242) of Shenzhen University
关键词 Beurling-Ahlfors extension first variation harmonic map Beurling-Ahlfors extension, first variation, harmonic map
分类号 O11 [理学—基础数学] TM864 [电气工程—高电压与绝缘技术]
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  • 1McMullen, C. T., Renormalization and 3-manifolds Which Fiber over the Circle, Ann. of Math. Studies, Vol. 142, Princeton Univ. Press, Princeton, New Jersey, 1996.
  • 2Liu, L. and Yao, H., The Douady-Earle extension is not always harmonic, Ma~h. Ann., preprint.
  • 3Beurling, S. L. and Ahlfors, L. V., The boundary correspondence under quasiconformal map- ping, Acta Math., 96(1956), 125--142.
  • 4Tukia, P. and V'siil J., Quasiconformal extension from dimension n to n+ 1, Ann. of Math., 115(1982), 331-348.
  • 5Tukia, P., Quasiconformal extension of quasisymmetric mappings compatible with a MSbius group, Acta Math., 154(1985), 153-193.
  • 6Douady, A. and Earle, C. J., Conformally natural extension of homeomorphism of the circle, Ac~ Math., 157 (1986), 23-48.
  • 7Hardt, R. and Wolf, IVI., Harmonic extensions of quasiconformal maps to hyperbolic space, Indiana Univ. Math. J., 46(1997), 155-163.
  • 8Sehoen, R. M., The role of harmonic mappings in rigidity and deformation problems, in: Ko- matsu, G. and Sakane, Y. eds., Proc. of the Osaka International Conf. on Complex Geometry, 1990, Lecture Notes in Pure and Appl. Math., Vol. 143, Dekker, New York, 1993, pp. 179-200.
  • 9Li, P. and Tam, L. F., Uniqueness and regularity of proper harmonic maps, Ann. of Math., 137(1993), 167-201.
  • 10Li, P. and Tam, L. F., Uniqueness and regularity of proper harmonic maps II, Indiana Univ. Math. J., 42(1993), 591-635.
Communications in Mathematical Research
2011年 第4期

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