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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
Printed: Sep 2006
- Daniel Girela
- José Ángel Peláez
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 |
| MSC Classifications: |
30D50 - Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part 30D55 - ${H}^p$-classes 32A36 - Bergman spaces |