Two-Weight Integral Inequalities for Conjugate ${\cal A}$-Harmonic Tensors
共轭 A -调和张量的双权积分不等式

In this paper, the authors first introduce a newweight: $A^{\lambda_{3}}_{r}(\lambda_{1},\lambda_{2},\Omega)$-weight,and prove the local weighted integral inequalities for conjugate${\cal A}$ -harmonic tensors. Then, as an application of the localresult, the authors prove a global weighted integral inequality forconjugate ${\cal A}$-harmonic tensors in a bounded domain $\Omega$,which can be regarded as generalizations of the classical results.Finally, the authors give some applications of the above results toquasiregular mappings.