Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 498638, 13 pages
doi:10.1155/2011/498638
Research Article

Riesz Potential on the Heisenberg Group

Jinsen Xiao and Jianxun He

Department of Mathematics, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Received 24 November 2010; Accepted 17 February 2011

Academic Editor: Vijay Gupta

Copyright © 2011 Jinsen Xiao and Jianxun He. 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 relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.