满足H(m)条件的奇异积分算子的交换子的有界性

Boundedness of Commutators of Singular Integral Operators Satisfying Condition H(m)

主要讨论了满足H(m)条件的奇异积分算子与Lipschitz函数的交换子在L^p和Hardy空间的有界性,并把这个结果应用于与薛定谔算子相关的Riesz变换.

In this paper, the boundedness of commutators associated with singular integral operators T satisfying H（m） with Lipschitz functions from LP（R^n） to some L^q（R^n） spaces is obtained. The boundedness on Hardy space is also considered. The results are applied to obtain the boundedness of commutators of Riesz transforms associated with SchrSdinger operator and Lipschitz functions.