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Derivatives of Blaschke Products and Model Space Functions

Part of: Function theory on the disc Spaces and algebras of analytic functions

Published online by Cambridge University Press:  12 November 2019

David Protas
David Protas*
Affiliation:
Department of Mathematics, California State University, Northridge, California91330 Email: david.protas@csun.edu
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Abstract

The relationship between the distribution of zeros of an infinite Blaschke product $B$ and the inclusion in weighted Bergman spaces $A_{\unicode[STIX]{x1D6FC}}^{p}$ of the derivative of $B$ or the derivative of functions in its model space $H^{2}\ominus \mathit{BH}^{2}$ is investigated.

Keywords

Blaschke productmodel spaceBergman spaceseparateduniformly discreteuniformly separatedinterpolating sequenceStolz

MSC classification

Primary: 30J10: Blaschke products
Secondary: 30H20: Bergman spaces, Fock spaces 30H10: Hardy spaces
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 4 , December 2020 , pp. 716 - 725
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Copyright
© Canadian Mathematical Society 2019

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