Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 28629, 9 pages
doi:10.1155/2007/28629
Research Article

Weighted Composition Operators between Mixed Norm Spaces and Hα∞ Spaces in the Unit Ball

Stevo Stević

Mathematical Institute of the Serbian Academy of Sciences and Arts, Knez Mihailova 36, Beograd 11000, Serbia

Received 15 March 2007; Accepted 1 November 2007

Academic Editor: Ulrich Abel

Copyright © 2007 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

Let ϕ be an analytic self-map and let u be a fixed analytic function on the open unit ball B in ℂn. The boundedness and compactness of the weighted composition operator uCϕf=u⋅(f∘ϕ) between mixed norm spaces and Hα∞ are studied.