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The radial behavior of Blaschke products


Authors: C. L. Belna, P. Colwell and G. Piranian
Journal: Proc. Amer. Math. Soc. 93 (1985), 267-271
MSC: Primary 30D40; Secondary 30D50
DOI: https://doi.org/10.1090/S0002-9939-1985-0770534-0
MathSciNet review: 770534
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Abstract: The paper extends results of G. T. Cargo and of C. L. Belna, F. W. Carroll and G. Piranian on the existence of Blaschke products with prescribed radial limits at a prescribed finite or countable set of points on the unit circle. The extension permits the prescription of the radial cluster set at each point of a prescribed countable set on the unit circle.


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

  • [1] C. L. Belna, F. W. Carroll and G. Piranian, Strong Fatou-$ 1$-points of Blaschke products, Trans. Amer. Math. Soc. 280 (1983), 695-702. MR 716845 (85h:30039)
  • [2] G. T. Cargo, Blaschke products and singular functions with prescribed boundary values, J. Math. Anal. Appl. 71 (1979), 287-296. MR 545875 (80i:30053)

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DOI: https://doi.org/10.1090/S0002-9939-1985-0770534-0
Article copyright: © Copyright 1985 American Mathematical Society

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