BLASCHKE PRODUCTS, α-CURVES AND Q_p SPACES

摘要

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 Q_p for somle but not for all p.