Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 36503, 8 pages
doi:10.1155/2007/36503
Research Article

On the (p,q)-Boundedness of Nonisotropic Spherical Riesz Potentials

Mehmet Zeki Sarikaya and Hüseyin Yildirim

Department of Mathematics, Faculty of Science and Arts, Kocatepe University, Afyon 03200, Turkey

Received 20 November 2006; Accepted 1 March 2007

Recommended by Shusen Ding

Abstract

We introduced the concept of nonisotropic spherical Riesz potential operators generated by the λ-distance of variable order on λ-sphere and its (p,q)-boundedness were investigated.