带变量核的分数次积分算子与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性（英文）

Boundedness of Commutators Generated by Fractional Integral Operators With Variable Kernel and Local Campanato Functions on Generalized Local Morrey Spaces

设T_(Ω,a)是带变量核的分数次积分算子.本文证明了T_(Ω,α)在广义局部Morrey空间LM_(p,φ)~{x_0}的有界性,进一步还考虑了由T_(Ω,α)与局部Campanato函数生成的多线性交换子在广义局部Morrey空间的有界性.

Suppose that TΩ,α is the fractional integral operator with variable kernel. We prove the boundedness for TΩ,α on the generalized local Morrey spaces LMp{x0}. The multilinear commutators generated by T~,~ and local Campanato functions are also considered.