The Boundedness of the Commutator for Riesz Potential Associated with Schr ¨odinger Operator on Morrey Spaces

摘要

Let L=??+V be the Schr ¨odinger operator on Rd, where?is the Laplacian on Rd and V 6=0 is a nonnegative function satisfying the reverse H¨older’s inequality. The authors prove that Riesz potential Iβand its commutator [b,Iβ] associated with L map from Mp,qα,v into Mp1,q1α,v .