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.
We first prove the local and global two-weight norm inequalities for
solutions to the nonhomogeneous -harmonic equation for differential
forms. Then, we obtain some weighed Lipschitz norm and BMO norm inequalities
for differential forms satisfying the different nonhomogeneous -harmonic equations.