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1. CMB 2006 (vol 49 pp. 381)

Girela, Daniel; Peláez, José Ángel
On the Membership in Bergman Spaces of the Derivative of a Blaschke Product With Zeros in a Stolz Domain
It is known that the derivative of a Blaschke product whose zero sequence lies in a Stolz angle belongs 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 $B'\notin A^{3/2}$.

Keywords:Blaschke products, Hardy spaces, Bergman spaces
Categories:30D50, 30D55, 32A36

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