On Blaschke products with derivatives in Bergman spaces with normal weights
(2010) In Journal of Mathematical Analysis and Applications 361(2). p.492-505- 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. (c) 2009 Elsevier Inc. All rights reserved.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1506267
- author
- Aleman, Alexandru LU and Vukotic, Dragan
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Normal weights, Blaschke products, Weighted Bergman spaces, Interpolating sequences
- in
- Journal of Mathematical Analysis and Applications
- volume
- 361
- issue
- 2
- pages
- 492 - 505
- publisher
- Elsevier
- external identifiers
-
- wos:000270865400019
- scopus:70349762477
- ISSN
- 0022-247X
- DOI
- 10.1016/j.jmaa.2009.07.030
- language
- English
- LU publication?
- yes
- id
- 23fb5e03-554b-4564-be2a-f60524d1fd7d (old id 1506267)
- date added to LUP
- 2016-04-01 14:20:17
- date last changed
- 2022-01-28 00:02:08
@article{23fb5e03-554b-4564-be2a-f60524d1fd7d, 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. (c) 2009 Elsevier Inc. All rights reserved.}}, author = {{Aleman, Alexandru and Vukotic, Dragan}}, issn = {{0022-247X}}, keywords = {{Normal weights; Blaschke products; Weighted Bergman spaces; Interpolating sequences}}, language = {{eng}}, number = {{2}}, pages = {{492--505}}, publisher = {{Elsevier}}, series = {{Journal of Mathematical Analysis and Applications}}, title = {{On Blaschke products with derivatives in Bergman spaces with normal weights}}, url = {{http://dx.doi.org/10.1016/j.jmaa.2009.07.030}}, doi = {{10.1016/j.jmaa.2009.07.030}}, volume = {{361}}, year = {{2010}}, }