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

  Published:2006-09-01
 Printed: Sep 2006
  • Daniel Girela
  • José Ángel Peláez
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Abstract

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 Blaschke products, Hardy spaces, Bergman spaces
MSC Classifications: 30D50, 30D55, 32A36 show english descriptions Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part
${H}^p$-classes
Bergman spaces
30D50 - Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part
30D55 - ${H}^p$-classes
32A36 - Bergman spaces
 

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