薛定谔型算子的交换子的加权L^p有界性

Weighted L^p Boundedness of Commutators of Schrdinger Type Operators

考虑了非负位势V属于逆Hlder类B_(q1)的薛定谔算子-△+V,其中△是R^n上的拉普拉斯算子并且q_1≥n/2.得到了薛定谔型算子(-△+V)(-β)~V~α和(-△+V)^(-β)▽V~α的交换子的加权L^p有界性.

We consider the Schrdinger operators-△＋V,where△is the Laplacianon R^n and the nonnegative potential V belongs to the reverse Hlder class Bq1 forq1≥n/2.The weighted L^P boundedness of the commutators of the Schrdinger typeoperators（-△＋V）^-βV~αand（-△＋V）^-β▽V^α is obtained.