Two-Weight Integral Inequalities For Conjugate A-Harmonic Tensors

Conjugate A-harmonic tensors are interesting and important generalizations of conjugate harmonic functions and p-harmonic functions, p > 1. In this paper, we prove some local A_r^λ₃(λ₁,λ₂,Ω) two-weight integral inequalities for conjugate A-harmonic tensors. These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them. Finally, we give some applications of the above results to quasiregular mappings.