| In this paper, we first introduce a new weight-Arλ3(λ1, λ2, Ω)-weight, and then prove the two-weight Caccioppoli-type estimates and the two-weight weak reverse Holder inequalities for A-harmonic tensors, which can be regarded as generalizations of the classical results. These inequalities can also be used to study the integrability of differential forms and to estimate the integrals of differential forms. Finally, we give some applications of the above results.
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