带粗糙核的分数次积分算子交换子在Morrey-Herz空间的加权有界性

Weighted boundedness of commutators of fractional integral operators with rough kernel on Morrey-Herz spaces

受Morrey-Herz空间和奇异积分算子的启发,讨论了加权Morrey-Herz空间MKαp,,qλ(ω1,ω2)上的算子.基于Ap权函数理论,应用调和分析的方法,得到了带粗糙核的分数次积分算子交换子在加权Morrey-Herz空间MKαp,,qλ(ω1,ω2)上的有界性.

Motivated by the Morrey-Herz spaces and the singular integral operators,the operators on weighted Morrey-Herz spaces MKpα,,qλ （ω1,ω2） are discussed in this paper.Basing on the properties of Ap weight function,and using the methods of harmonic analysis,the weighted boundedness of commutators of fractional integral operators with rough kernel on Morrey-Herz spaces MKαp,,qλ （ω1,ω2） are obtained.