Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 713625, 13 pages
doi:10.1155/2010/713625
Research Article

Weighted Inequalities for Potential Operators on Differential Forms

Hui Bi1,2

1Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China
2Department of Applied Mathematics, Harbin University of Science and Technology, Harbin, 150080, China

Received 23 December 2009; Accepted 10 February 2010

Academic Editor: Shusen Ding

Copyright © 2010 Hui Bi. 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

We develop the weak-type and strong-type inequalities for potential operators under two-weight conditions to the versions of differential forms. We also obtain some estimates for potential operators applied to the solutions of the nonhomogeneous A-harmonic equation.