On Blaschke products with derivatives in Bergman spaces with normal weights

Summary, in English

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. (c) 2009 Elsevier Inc. All rights reserved.

• Författare: Alexandru Aleman; Dragan Vukotic
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten)
• Publiceringsår: 2010
• Språk: Engelska
• Sidor: 492-505
• Publikation/Tidskrift/Serie: Journal of Mathematical Analysis and Applications
• Volym: 361
• Issue: 2
• Länkar: http://dx.doi.org/10.1016/j.jmaa.2009.07.030
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Nyckelord: Normal weights; Blaschke products; Weighted Bergman spaces; Interpolating sequences
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 0022-247X