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Proceedings of the American Mathematical Society

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The dilatation of harmonic quasiconformal functions

Author: William V. Caldwell
Journal: Proc. Amer. Math. Soc. 40 (1973), 205-208
MSC: Primary 30A60
MathSciNet review: 0318479
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Abstract: In this paper, it is shown that the dilation of a harmonic quasiconformal function is a subharmonic function.

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

  • [1] Lars V. Ahlfors, Lectures on quasiconformal mappings, Manuscript prepared with the assistance of Clifford J. Earle, Jr. Van Nostrand Mathematical Studies, No. 10, D. Van Nostrand Co., Inc., Toronto, Ont.-New York-London, 1966. MR 0200442
  • [2] L. Bers, Theory ofpseudo-analytic functions, New York University, 1963. (Mimeographed lecture notes).
  • [3] W. V. Caldwell, Some relationships between Bers and Beltrami systems and linear elliptic systems of partial differential equations, Canad. J. Math. 17 (1965), 627–642. MR 0200605
  • [4] C. Lanczos, Linear systems in self-adjoint form, Amer. Math. Monthly 65 (1958), 665–679. MR 0103196

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Keywords: Quasiconformal, dilatation
Article copyright: © Copyright 1973 American Mathematical Society