摘要
本文证明了共轭A-调和张量的局部双权积分不等式,此结果类似于共轭调和函数的古典Hardy-Littlewood不等式.作为局部结果的应用,还证明了John域上的共轭A-调和张量的全局双权积分不等式.
This paper proves a local two-weighted integral inequality for conjugate A-harmonic tensors similar to the Hardy and Littlewood integral inequality for conjugate harmonic functions. Then by using the local two-weighted integral inequality, the authors prove a global two-weighted integral inequality for conjugate A-harmonic tensors in John domains.
出处
《数学年刊(A辑)》
CSCD
北大核心
2005年第1期113-120,共8页
Chinese Annals of Mathematics