Some Estimates for Commutators of Fractional Integrals Associated to Operators with Gaussian Kernel Bounds on Weighted Morrey Spaces

摘要

Let L be the infinitesimal generator of an analytic semigroup on L~2(R~n) with Gaussian kernel bound, and let L~(-α/2) be the fractional integrals of L for 0 ＜ α ＜ n. In this paper, we will obtain some boundedness properties of commutators [b,L~(-α/2)] on weighted Morrey spaces L~(p,x)(w) when the symbol b belongs to BMO(R~n) or the homogeneous Lipschitz space.