Within the present scholarly exposition, a meticulous and rigorous analysis is undertaken to investigate the boundedness characteristics of rough Hardy operators in the refined structural setting of variable exponent Morrey–Herz spaces. Moreover, parallel and quantitatively precise estimates are systematically established for the associated commutator operators, under the fundamental premise that the underlying symbol functions reside in the variable exponent bounded mean oscillation space (BMO).
Asim et al. (Sat,) studied this question.