分数次Hardy算子多线性交换子的有界性

摘要

该文主要在Lebesgue空间,齐次Herz空间kqa,p,p(Rn)和齐次Morrey-Herz空间MKp,q α,λ(Rn)上建立了由n维分数次Hardy算子和BMO函数生成的多线性交换子HHe,(b)的有界性.%In this paper, the boundedness of the multilinear commutator HE -b generated by an n-dimensional fractional Hardy operator and BMO function is established on the Lebesgue space, the homogenous Herz space Ka,pq(Rn) and the homogenous Morrey-Herz space Mka,λp,q(Rn).