Mean growth of the derivative of a Blaschke product

Kodai Mathematical Journal

David Protas¹ 

[1] DEPARTMENT OF MATHEMATICS CALIFORNIA STATE UNIVERSITY

关键词: Blaschke product;    interpolating sequence;    Hardy space;    Bergman space;   

DOI  :  10.2996/kmj/1104247356

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 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.

【 授权许可】

Unknown