Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 742019, 11 pages
doi:10.1155/2009/742019
Research Article

Composition Operators from the Weighted Bergman Space to the nth Weighted Spaces on the Unit Disc

Stevo Stević

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 nth weighted space on the unit disc, is characterized. Moreover, the norm of the operator in terms of the inducing function and weights is estimated.