We prove that is in if and only if the commutator of the multiplication operator by and the general fractional integral operator is bounded from the weighted Morrey space to , where , , , , and , and here denotes the critical index of for the reverse Hölder condition.
"Necessary and Sufficient Conditions for Boundedness of Commutators of the General Fractional Integral Operators on Weighted Morrey Spaces." Abstr. Appl. Anal. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/929381