Article

Blaschke Products With Derivative In Function Spaces

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 < ∞.

Relationships

Items