关于A-调和张量的加权Hardy-Littlewood积分不等式

Ar^λ（Ω） -Weighted Hardy- Littlewood inequality for differential forms satisfying the A -harmonic equation

首先证明了A-调和张量的加Aλr(Ω)-权函数的局部Hardy-Littlewood不等式,此结果类似于Hardy和Littlewood的一个早期不等式.作为局部结果的应用,证明了在Rn中的有界域Ω上的A-调和张量的加Aλr(Ω)-权函数的全局Hardy-Littlewood不等式.

A local Ar^λ（Ω） - weighted Hardy - Littlewood inequality for differential forms satisfying the A - harmonic tensors is proved. The inequality is similar to Hardy and Littlewood integral inequality for conjugate harmonic functions. As applications of the local results, the global Ar^λ（Ω） - weighted Hardy - Littlewood inequality for differenti- al forms satisfying the A - harmonic tensors on a bounded domain Ωbelong to R^n is obtained.