带粗糙核的Marcinkiewicz积分交换子在加权Morrey-Herz空间上的有界性

Boundedness of Marcinkiewicz Integral Commutators with Rough Kernels on the Weighted Morrey-Herz Spaces

引进了一类Morrey-Herz函数空间,利用带粗糙核的Marcinkiewicz积分算子与BMO(Rn)函数生成的交换子μΩ,b(f)(x)在加权Lp空间上有界性,证明了它在更广泛的一类空间即加权Morrey-Herz空间MKp,α,qλ(Rn)上的有界性.

A class of Morrey-Herz space is introduced.By using the truth that the commutator μΩ,b（f）（x）,which comes from Marcinkiewicz integral operators with rough kernels and BMO（Rn） functions,has boundedness on the Lp space,a conclusion is drawn that μΩ,b（f）（x） also has boundedness on the weighted Morrey-Herz space.