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Blaschke products, (alpha)-curves and Qp spaces

Majchrowska G., Mouratides C.

Demonstratio Mathematica

2010

Vol. 43, nr 1

29-38

We give necessary and sufficient conditions for Blaschke products with zeros on an a-curve, to belong to a Qp space, in terms only of distribution of the zeros. It comes out that the condition depends on p. As we see the 0-1 law of the non tangential case breaks. Here it is possible that a Blaschke product B belongs to Qp for some but not for all p.

Geometric result in the boundary behaviour of Blaschke products

Mouratidis Chr.

Journal of Mathematics and Applications

2009

Vol. 31

91-97

For a Blaschke product B with zeros in an angular domain having vertex on the unit circle we give a necessary and sufficient condition for the boundary behavior of B, in terms only of the distribution of the zeros. Moreover, we show, with a counterexample, the non-equivalence of two known results of Tanaka, concerning the specific boundary behavior of Blaschke products.