Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 32124, 10 pages
doi:10.1155/2007/32124
Research Article
Volterra-Type Operators on Zygmund Spaces
1Department of Mathematics, Shantou University, Shantou, Guang Dong 515063, China
2Department of Mathematics, Jia Ying University, Meizhou, Guang Dong 514015, China
3Mathematical Institute of the Serbian Academy of
Sciences and Arts, Knez Mihailova 35/I, Beograd 11000, Serbia
Received 26 November 2006; Accepted 4 March 2007
Academic Editor: Robert Gilbert
Copyright © 2007 Songxiao Li and 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 and the compactness of the two integral operators Jgf(z)=∫0zf(ξ)g′(ξ)dξ; Igf(z)=∫0zf′(ξ)g(ξ)dξ, where g is an analytic function on the open unit disk in the complex plane, on the Zygmund space are studied.