The dilatation of harmonic quasiconformal functions
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- by William V. Caldwell PDF
- Proc. Amer. Math. Soc. 40 (1973), 205-208 Request permission
Abstract:
In this paper, it is shown that the dilation of a harmonic quasiconformal function is a subharmonic function.References
- Lars V. Ahlfors, Lectures on quasiconformal mappings, Van Nostrand Mathematical Studies, No. 10, D. Van Nostrand Co., Inc., Toronto, Ont.-New York-London, 1966. Manuscript prepared with the assistance of Clifford J. Earle, Jr. MR 0200442 L. Bers, Theory ofpseudo-analytic functions, New York University, 1963. (Mimeographed lecture notes).
- W. V. Caldwell, Some relationships between Bers and Beltrami systems and linear elliptic systems of partial differential equations, Canadian J. Math. 17 (1965), 627–642. MR 200605, DOI 10.4153/CJM-1965-062-5
- C. Lanczos, Linear systems in self-adjoint form, Amer. Math. Monthly 65 (1958), 665–679. MR 103196, DOI 10.2307/2308707
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 205-208
- MSC: Primary 30A60
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318479-6
- MathSciNet review: 0318479