Blaschke products with derivative in function spaces

Kodai Mathematical Journal

David Protas¹ 

[1] Department of Mathematics California State University

关键词: Blaschke product;    Hardy space;    Bergman space;    separated;    uniformly discrete;    uniformly separated;    interpolating sequence;   

DOI  :  10.2996/kmj/1301576766

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)Let B be a Blaschke product with zeros {an}. If B′ ∈ Apα for certain p and α, it is shown that Σn (1 - |an|)β < ∞ for appropriate values of β. Also, if {an} is uniformly discrete and if B′ ∈ Hp or B′ ∈ A1+p for any p ∈ (0,1), it is shown that Σn (1 - |an|)1-p < ∞.

【 授权许可】

Unknown