Strong Fatou-1-points of Blaschke products

Belna, C. L.; Carroll, F. W.; Piranian, G.

doi:10.1090/S0002-9947-1983-0716845-9

Strong Fatou-$1$-points of Blaschke products
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by C. L. Belna, F. W. Carroll and G. Piranian PDF

Trans. Amer. Math. Soc. 280 (1983), 695-702 Request permission

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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