Aλr (Ω)-weighted imbedding inequalities for A-harmonic tensors

We prove new versions of Aλr (Ω)-weighted imbedding inequalities for A-harmonic tensors locally and globally. The results are used to estimate the integrals of a homotopy operator T from the Banach space Ls(Ω,∧l ) to the Sobolev space W1,s(Ω,∧l−1), l = 1, 2, . . . ,n, and Sobolev–Poincaré imbedding inequality with Aλr (Ω) weight.  2002 Elsevier Science (USA). All rights reserved.