Mean growth of the derivative of a Blaschke product

[摘要] References(8)If B is a Blaschke product with zeros {an} and if ∑n(1−|an|)α is finite for some α∈(1/2, 1], then limits are found on the rate of growth of ∫02π|B'(reit)|p dt in agreement with a known result for a α∈(0, 1/2). Also, a converse is established in the case of an interpolating Blaschke product whenever 0<α<1.

[学科分类] 数学（综合）

[关键词] Blaschke product;interpolating sequence;Hardy space;Bergman space