共轭A-调和张量的双权积分不等式

Two-Weight Integral Inequalities for Conjugate A-Harmonic Tensors

该文引进一类新的权函数-A_r^(λ_3)(λ_1,λ_2,Ω)-权,证明了共轭A-调和张量的局部加权积分不等式.作为局部结果的应用,证明了在有界区域Ω中共轭A-调和张量的整体加权积分不等式.这些结果可看成是经典结果的推广.最后,给出了上述结果在拟正则映射理论中的应用.

In this paper, the authors first introduce a new weight： Ar^λ3 （λ1, λ2, Ω）-weight, and prove the local weighted integral inequalities for conjugate .4 -harmonic tensors. Then, as an application of the local result, the authors prove a global weighted integral inequality for conjugate AN-harmonic tensors in a bounded domain Ω, which can be regarded as generalizations of the classical results. Finally, the authors give some applications of the above results to quasiregular mappings.