与Schrödinger算子相关的交换子在Morrey-Herz空间上的有界性

Boundedness of Commutators Associated to Schdinger Operators on Morrey-Herz Spaces

借助于与Schrdinger算子相关的Riesz变换交换子的LP有界性结论,使用经典不等式估计,并应用齐次Morrey-Herz空间上的性质,证明了与Schrdinger算子相关的Riesz变换交换子在Morrey-Herz空间上的有界性.

Based on the results of the Lp boundedness of commutators of Riesz transform associated to Schrding operators.By using the estimate of the classcial inequalities and the properties of the homogeneous Morrey-Herz spaces,the boundedness of the commutators of Riesz transform associated to Schrdinger operators on Morrey-Herz spaces is proved.