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

Songxiao Li1,2 and Stevo Stević3

 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

Recommended by Robert Gilbert

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.