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On the means of quasiregular and quasiconformal mappings

Authors: David Jerison and Allen Weitsman
Journal: Proc. Amer. Math. Soc. 83 (1981), 304-306
MSC: Primary 30C60; Secondary 30C75
MathSciNet review: 624919
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Abstract: Two theorems are given regarding the means of quasiconformal and quasiregular mappings. Together they show that the principle of subordination for means of analytic functions has no analog, at least in the case of plane quasiregular mappings.

References [Enhancements On Off] (What's this?)

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  • [2] P. Duren, Theory of $ {H^p}$ spaces, Academic Press, New York, 1970. MR 0268655 (42:3552)
  • [3] R. Miniowitz, Distortion theorems for quasiregular mappings, Ann. Acad. Sci. Fenn. 4 (1978/79), 63-74. MR 538089 (80j:30026)
  • [4] J. Väisälä, Lectures on $ n$-dimensional quasiconformal mappings, Lecture Notes in Math., vol. 229, Springer-Verlag, Berlin and New York, 1971.
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Keywords: Quasiconformal, quasiregular, means
Article copyright: © Copyright 1981 American Mathematical Society

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