Abstract
We prove new versions of Arλ(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 Arλ(Ω) weight.
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