可变核Marcinkiewicz积分交换子的一个加权有界性

A Weighted Boundedness of Commutators Related to Marcinkiewicz Integrals with Variable Kernels

利用加权Herz型Hardy空间的原子分解,借助于加权Lp有界性的结论,证明了可变核Marcinkiewicz积分和Lipschitz函数生成的交换子μΩ,b是从加权Herz型Hardy空间到加权Herz空间有界的。

The boundedness of the commutators μΩ,b generated by the Marcinkiewicz integrals μΩ with variable kernel and a Lipschitz function b is obtained from weighted Herz type Hardy spaces to weighted Herz spaces,by using the method of the atomic decomposition of the weighted Herz type Hardy Space and the results obtained by other experts of boundedness of weighted Lq spaces.