与Schrodinger算子相关的Riesz变换交换子在Herz空间的有界性

Boundedness of Commutators of Riesz Transform Associated to Schrdinger Operators on Herz Spaces

借助与Schrdinger算子相关的Riesz变换交换子的Lp有界性结论,使用Riesz变换的核估计,及BMO函数空间性质,证明了与Schrdinger算子相关的Riesz变换和BMO函数生成的交换子在齐型Herz空间上的有界性。

Based on the results of the boundedness of Riesz commutators associated to Schrdinger operators on Lpspaces,the boundedness of commutators which is generated by BMO functions and Riesz transform associated to Schrdinger operators on homogeneous Herz spaces is proved by using the estimates of Riesz kernel and the properties of BMO spaces.