Boundary behaviour of level curves of harmonic functions
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- by W. J. Walker PDF
- Proc. Amer. Math. Soc. 91 (1984), 102-104 Request permission
Abstract:
Sufficient conditions are obtained for a function harmonic in the disk and continuous at a boundary point to have a level curve emanating from the boundary point into the disk. The one-sided derivative of the level curve is studied at the boundary point.References
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N. K. Bary, A treatise on trigonometric series, Vol. I, Pergamon Press, New York and Oxford, 1964.
- John B. Garnett, Bounded analytic functions, Pure and Applied Mathematics, vol. 96, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 628971
- Christian Pommerenke, Univalent functions, Studia Mathematica/Mathematische Lehrbücher, Band XXV, Vandenhoeck & Ruprecht, Göttingen, 1975. With a chapter on quadratic differentials by Gerd Jensen. MR 0507768
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 102-104
- MSC: Primary 31A05
- DOI: https://doi.org/10.1090/S0002-9939-1984-0735573-3
- MathSciNet review: 735573