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.  2005 Elsevier Inc. All rights reserved