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On Blaschke products with derivatives in Bergman spaces with normal weights |
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| Authors: | Alexandru Aleman |
| Institution: | a Department of Mathematics, Lund University, PO Box 118, Lund, Sweden b Departamento de Matemáticas and ICMAT CSIC-UAM-UC3M-UCM, Módulo C-XV, Universidad Autónoma de Madrid, 28049 Madrid, Spain |
| Abstract: | We generalize a well-known sufficient condition for interpolating sequences for the Hilbert Bergman spaces to other Bergman spaces with normal weights (as defined by Shields and Williams) and obtain new results regarding the membership of the derivative of a Blaschke product or a general inner function in such spaces. We also apply duality techniques to obtain further results of this type and obtain new results about interpolating Blaschke products. |
| Keywords: | Blaschke products Weighted Bergman spaces Normal weights Interpolating sequences |
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