A simple proof for Schur’s theorem
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- by R. A. Kortram PDF
- Proc. Amer. Math. Soc. 129 (2001), 3211-3212 Request permission
Abstract:
In 1917 Schur gave a characterization of bounded analytic functions on the unit disc. We present a simple proof.References
- J. Campschroer, Inverse coefficients and symmetrization of univalent functions. Doctoral dissertation. University of Nijmegen 1984.
- 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
- I. Schur, Über Potenzreihen die im Innern des Einheitskreises beschränkt sind. J. Reine Angew. Math. 147 (1917), 205-232.
Additional Information
- R. A. Kortram
- Affiliation: Department of Mathematics, University of Nijmegen, 6525 ED Nijmegen, The Netherlands
- Email: kortram@sci.kun.nl
- Received by editor(s): February 15, 2000
- Published electronically: May 21, 2001
- Communicated by: Juha M. Heinonen
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3211-3212
- MSC (2000): Primary 30B10
- DOI: https://doi.org/10.1090/S0002-9939-01-06199-8
- MathSciNet review: 1844995