在本文中，證明了 Marcinkiewicz 積分交換子 $mu^m_{Omega,b}$ 是從原子Hardy空間
$H^p_{b^m}(omega )$ 到 $L^p_omega (Bbb{R}^n)$, $max{n/(n+1/2),n/(n+alpha)}<p<1$ 加權有界的
，其中 $omega$ 是 Muckenhoupt 權函數。

In this paper, we prove that the commutator
$mu^m_{Omega,b}$ of the marcinkiewicz integral $mu^m_{Omega}$
is a bounded operator from a class of atomic-Hardy spaces
$H^p_{b^m}(omega)$ to $L^p_{omega}(Bbb{R}^n)$ for $max{ n/(n+1/2),
n/(n+alpha)}<p<1$, where $omega $ is a Muckenhoupt weight.

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