Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (2): 213-220.

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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).

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

CLC Number: 

  • 30C65
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