Department of Mathematics, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
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.
The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.