数学物理学报(英文版)

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ON DEGENERATE WEAKLY (K1,K2)-QUASIREGULAR MAPPINGS

高红亚; 李彤   

  1. 河北大学数学与计算机学院, 保定 071002
  • 收稿日期:2005-12-13 修回日期:1900-01-01 出版日期:2008-01-20 发布日期:2008-01-20
  • 通讯作者: 高红亚
  • 基金资助:

    Research supported by NSFC (10471149), Special Fund of Mathematics Research of Natural Science Foundation of Hebei Province (07M003),
    and Doctoral Foundation of Hebei Province Ministry of Education (B2004103).

ON DEGENERATE WEAKLY (K1,K2)-QUASIREGULAR MAPPINGS

Gao Hongya; Li Tong   

  1. College of Mathematics and Computer, Hebei University, Baoding 071002, China
  • Received:2005-12-13 Revised:1900-01-01 Online:2008-01-20 Published:2008-01-20
  • Contact: Gao Hongya

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摘要：

The authors first give the definition of degenerate weakly (K1,K2)-quasiregular mappings using the technique of exterior power and exterior differential forms, and then, using the method of McShane extension,
a useful inequality is obtained, which can be used to derive the self-improving regularity.

关键词: Degenerate weakly (K1, K2)-quasiregular mapping, exterior power, exterior
differential form, McShane extension

Abstract:

The authors first give the definition of degenerate weakly (K1,K2)-quasiregular mappings using the technique of exterior power and exterior differential forms, and then, using the method of McShane extension,
a useful inequality is obtained, which can be used to derive the self-improving regularity.

Key words: Degenerate weakly (K1, K2)-quasiregular mapping, exterior power, exterior
differential form, McShane extension

中图分类号: 

  • 30C65
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