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

Recommended by Ulrich Abel

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.