The radial behavior of Blaschke products
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- by C. L. Belna, P. Colwell and G. Piranian PDF
- Proc. Amer. Math. Soc. 93 (1985), 267-271 Request permission
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
- C. L. Belna, F. W. Carroll, and G. Piranian, Strong Fatou-$1$-points of Blaschke products, Trans. Amer. Math. Soc. 280 (1983), no. 2, 695–702. MR 716845, DOI 10.1090/S0002-9947-1983-0716845-9
- G. T. Cargo, Blaschke products and singular functions with prescribed boundary values, J. Math. Anal. Appl. 71 (1979), no. 1, 287–296. MR 545875, DOI 10.1016/0022-247X(79)90231-2
Additional Information
- © Copyright 1985 American Mathematical Society
- 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