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

摘要

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 LM[x0]p,ψ.The multilinear commutators generated by TΩ,α and local Campanato functions are also considered.%设TΩ,α是带变量核的分数次积分算子.本文证明了TΩ,α在广义局部Morrey空间LM[x0]p,ψ的有界性,进一步还考虑了由TΩ,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.