On the Membership in Bergman Spaces of the Derivative of a Blaschke Product With Zeros in a Stolz Domain

Canadian mathematical bulletin

关键词: Blaschke products;    Hardy spaces;    Bergman spaces;   

DOI  :  10.4153/CMB-2006-038-x

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

It is known that the derivative ofa Blaschke product whose zero sequence lies in a Stolz anglebelongs to all the Bergman spaces $A^p$ with $01$). As a consequence,we prove that there exists a Blaschke product $B$with zeros on a radius such that $B'otin A^{3/2}$.

【 授权许可】

Unknown