The radial behavior of Blaschke products

Author:

Belna C. L.,Colwell P.,Piranian G.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference2 articles.

1. Strong Fatou-1-points of Blaschke products;Belna, C. L.;Trans. Amer. Math. Soc.,1983

2. Blaschke products and singular functions with prescribed boundary values;Cargo, G. T.;J. Math. Anal. Appl.,1979

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