The commutators generated by the Littlewood-Paley operator and the BMO functions were introduced,and the H~1 estimates for the commutators were obtained by using the atomic decompositions.

• 首先引入了一类由Littlewood-Paley算子和BMO函数构成的交换子；然后利用原子分解的方法证明了该交换子在加权H1空间上的有界性.