讨论了齐性核的Macinkiewiacz积分μΩ和某一类加权BMO空间的函数b生成的交换子μΩ^b的性质.证明了μΩ^b以是由L^p(v)到L^p(v^1-p)的连续映照.
In this paper, the author discusses the properties of the commutator μΩ^b generalized by the Macinkiewiacz integral μΩ with homogeneous kernel and some weighted BMO funtion b. By using the properties of the sharp function, the L^p (v), L^p ( v^1 -p ) -boundedness of the operator μΩ^b is established.