Let be the infinitesimal generator of an analytic semigroup on with Gaussian kernel bounds, and let be the fractional integrals of for . For any locally integrable function , the commutators associated with are defined by . When (weighted space) or , the authors obtain the necessary and sufficient conditions for the boundedness of on weighted Morrey spaces, respectively.
"Commutator Theorems for Fractional Integral Operators on Weighted Morrey Spaces." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/413716