The authors discuss the Morrey-Herz space boundedness of the commutator of the function multiplier and the weighted Hardy operator defined by , where . When and , this reduces to the classical Hardy operator . They show that when , , , , and , then the commutator is bounded from the homogeneous Morrey-Herz space to . Here the homogeneous Morrey-Herz space is defined by
where . This extends the result for the classical Hardy operator by Z. W. Fu [J. Beijing Norm. Univ., Nat. Sci. 42, No. 4, 342–345 (2006; Zbl 1135.42320)].