Local A_r(λ,Ω)-Weighted Integral Inequalities For A-Harmonic Tensors

In this paper we first prove an Ar(λ,Ω)-weighted Caccioppoli-type inequality for A-harmonic tensors. Then, we obtain an Ar(λ,Ω)-weighted Hardy-Littlewood inequality for conjugate A-harmonic tensors. These inequalities can be considered as generalizations of the classical results. Finally, we give applications of the above results to quasiregular mappings.