中文摘要：

主要证明了由参数型Marcinkiewicz积分M^ρ和Lipschitz函数b生成的交换子Mb ρ的有界性．在M的核满足一定的条件下，证明了Mb ρ不仅从Lebesgue空间L n/n-β（μ）Hardy间H1（μ）有界，而且从Lebesgue空间L n/β（μ）到RBMO（μ）有界．

英文摘要：

In this paper, the authors prove the boundedness of the commutator Md ρ generated by the parameter Marcinkiewicz integral Mρ with Lipschitz function b. Under the assumption that the kernel of M satisfies certain condition, the authors prove that Mb ρ is bounded from the Lebesgue space Ln/n-β （μ） to the HardY space H1（μ）, and from the Lebesgue space L n/β （μ） to the space RBMO（μ）.