Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 456-464.

• Articles • Previous Articles     Next Articles

On (K1(x), K2(x)) - finite Distortion Mappings

  

  1. (1. College of Mathematics and Computer Science, Hebei University, Hebei Baoding 071002; 2. Hebei Provincial Center of Mathematics, Shijiazhuang 050016; 3. College of Science, Hebei Polytechnic University, Hebei Tangshan 063009)
  • Received:2007-11-24 Revised:2008-12-21 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    河北省自然科学基金数学研究专项(07M003)和河北省教育厅博士基金(B2004103)资助

Abstract:

In this paper, the authors first give the definition of K1(x), K2(x)) - finite distortion mappings, and then investigate their self-improving integrability property. Finally, they obtain novel result on the size of removable singularities for them by using the Caccioppoli-type inequality.

Key words: (K1(x), K2(x)) - finite distortion mapping, Beltrami equation, Removable singularity, Caccioppoli-type inequality, Quasiregular mapping

CLC Number: 

  • 30C65
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