齐次Morrey-Herz空间上粗糙核分数次积分交换子及多线性算子的CBMO估计

利用齐次Morrey-Herz空间MK^α,λ_p,q(Rⁿ)与齐次Herz空间K^α,p_q(Rⁿ)之间的关系, 推广了K^α,p_q(Rⁿ)上的一些结果, 在 MK^α,λ_p,q(Rⁿ)上建立了具有粗糙核的分数次积分交换子T^b_Ω,l及多线性分数次积分算子T^A_Ω,l的中心有界平均振荡函数空间(CBMO)估计, 并得到了分数次极大交换子M^b_Ω,l和多线性分数次极大算子M^A_Ω,l的相应结果.

CBMO Estimates for the Commutator and Multilinear Operators of Fractional Integrals with Rough Kernel on Homogeneous Morrey-Herz Spaces

Using the relation between homogeneous Morrey-Herz spaces MK^α,λ_p,q(Rⁿ) and homogeneous Herz spaces K^α,p_q(Rⁿ), some results on K^α,p_q(Rⁿ) were extended. The CBMO estimates on MK^α,λ_p,q(Rⁿ) were established for the commutator T^b_Ω,l and multilinear operators T^A_Ω,l of fractional integrals with rough kernel. In the meanwhile, the corresponding results for maximal commutators M^b_Ω,l and multilinear maximal operators M^A_Ω,l of fractional integrals were obtained.