Two-weight imbedding inequalities for solutions to the A-harmonic equation

We obtain the two-weight imbedding inequalities for solutions to the A-harmonic equation and explore their applications to the K-quasiregular mappings in Rn. These results can be used to study the properties of the homotopy operator T:Lp(D,∧l)→W1,p(D,∧l−1), l=1,2,…,n, and to establish the weighted Lp-estimate for solutions to the A-harmonic equation.