On Blaschke products with derivatives in Bergman spaces with normal weights

Details On Blaschke products with derivatives in Bergman spaces with normal weights On Blaschke products with derivatives in Bergman spaces with normal weights

2009-05-22

arxiv.org/abs/0905.3670v1

Journal of Mathematical Analysis and Applications, Volume 361, Issue 2, 15 January 2010, Pages 492-505

Mathematics

Complex Variables

Scientific paper

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 Blashke 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.

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