Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 851236, 15 pages
doi:10.1155/2009/851236
Research Article

Weighted Norm Inequalities for Solutions to the Nonhomogeneous A-Harmonic Equation

Haiyu Wen

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 10 March 2009; Accepted 18 May 2009

Academic Editor: Shusen Ding

Copyright © 2009 Haiyu Wen. 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 first prove the local and global two-weight norm inequalities for solutions to the nonhomogeneous A-harmonic equation A(x,g+du)=h+d⋆v for differential forms. Then, we obtain some weighed Lipschitz norm and BMO norm inequalities for differential forms satisfying the different nonhomogeneous A-harmonic equations.