数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 213-220.

• 论文 • 上一篇    下一篇

LINEAR DILATATION OF QUASIREGULAR MAPPINGS IN SPACE

 陈克应   

  1. Dept. of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • 出版日期:2001-04-07 发布日期:2001-04-07
  • 基金资助:

    This research was partially supported by China NSF (Grant No. 19531060) and Doctor Spot Foundation (Grant No. 97024811).

LINEAR DILATATION OF QUASIREGULAR MAPPINGS IN SPACE

 CHEN Ke-Ying   

  1. Dept. of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • Online:2001-04-07 Published:2001-04-07
  • Supported by:

    This research was partially supported by China NSF (Grant No. 19531060) and Doctor Spot Foundation (Grant No. 97024811).

摘要:

This paper presents an explicit upper bound for the linear dilatation of K-quasiregular (K-qr) mappings, which improves S. Rickman’s [6, P.37] corresponding re-sult for K-qr mappings and generalizes P. Seittenranta’s [7, Theorem 1.5] result for K-quasiconformal (K-qc) maps.

关键词: K-qr mapping, K-qc map, linear dilatation, local index, modulus, normal domain

Abstract:

This paper presents an explicit upper bound for the linear dilatation of K-quasiregular (K-qr) mappings, which improves S. Rickman’s [6, P.37] corresponding re-sult for K-qr mappings and generalizes P. Seittenranta’s [7, Theorem 1.5] result for K-quasiconformal (K-qc) maps.

Key words: K-qr mapping, K-qc map, linear dilatation, local index, modulus, normal domain

中图分类号: 

  • 30C65