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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Strong Fatou-$ 1$-points of Blaschke products


Authors: C. L. Belna, F. W. Carroll and G. Piranian
Journal: Trans. Amer. Math. Soc. 280 (1983), 695-702
MSC: Primary 30D40; Secondary 30D50
MathSciNet review: 716845
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Abstract: This paper shows that to every countable set $ M$ on the unit circle there corresponds a Blaschke product whose set of strong Fatou-$ 1$-points contains $ M$. It also shows that some Blaschke products have an uncountable set of strong Fatou-$ 1$-points.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0716845-9
PII: S 0002-9947(1983)0716845-9
Article copyright: © Copyright 1983 American Mathematical Society