Analytic functions with rectifiable radial images
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- by Marvin Ortel and Walter Schneider PDF
- Proc. Amer. Math. Soc. 103 (1988), 1082-1086 Request permission
Abstract:
We give a simple sufficient condition for an analytic function in the unit disk to have a radial image of finite length.References
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- G. R. MacLane, Asymptotic values of holomorphic functions, Rice Univ. Stud. 49 (1963), no. 1, 83. MR 148923
- Walter Rudin, The radial variation of analytic functions, Duke Math. J. 22 (1955), 235–242. MR 79093
- M. Tsuji, Potential theory in modern function theory, Maruzen Co. Ltd., Tokyo, 1959. MR 0114894
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 1082-1086
- MSC: Primary 30D50
- DOI: https://doi.org/10.1090/S0002-9939-1988-0954987-3
- MathSciNet review: 954987