设x是一个具有无限测度的齐次空间,T是一粗糙核的奇异积分算子,讨论了以下两个问题:1)T与Lipschitz函数生成的交换子的有界性;2)T与加权Lipschitz函数生成的交换子的有界性.
Let X be a space of homogeneous type of infinite measure , T be a singular integral operator with non-smooth kernels. This paper discussed the following two questions : 1 ) the boundedness of commutator generated by Lipschitz functions and T; 2 ) the boundedness of commutator generated by weighted Lipschitz functions and T.