Discrete Dynamics in Nature and Society
Volume 2009, Article ID 742019, 11 pages
http://dx.doi.org/10.1155/2009/742019
Research Article
Composition Operators from the Weighted Bergman Space to the th Weighted Spaces on the Unit Disc
Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia
Received 23 May 2009; Revised 27 August 2009; Accepted 4 September 2009
Academic Editor: Leonid Berezansky
Copyright © 2009 Stevo Stević. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the th weighted space on the unit disc, is characterized. Moreover, the norm of the operator in terms of the inducing function and weights is estimated.