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On the Distortion and Correspondence under Quasiconformal Mappings in Space

Published online by Cambridge University Press:  22 January 2016

Kazuo Ikoma
Kazuo Ikoma*
Affiliation:
Department of Mathematics, Yamagata University
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Recently many important results on rings and quasiconformal mappings in space have been obtained by B. V. Šabat [9], F. W. Gehring [3], J. Väisälä [11] and others. The modulus of a ring in space can be defined in three apparently different but essentially equivalent ways. (See Gehring [4]). In the theory of quasiconformal mappings in space, some properties for moduli of rings in space play an important role, because the method by means of moduli acts also as a substitute in space for the Riemann mapping theorem which does not hold in space.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 25 , 1965 , pp. 175 - 203
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1965

References

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