Boundedness on variable exponent Morrey-Herz space for fractional multilinear Hardy operators

In this treatise, the boundedness of the multilinear fractional Hardy operators is scrutinized within the context of variable exponent Morrey-Herz spaces, denoted as $M{\dot{K}}_{q,p(\cdot )}^{\alpha (\cdot ),\lambda }({\mathbb{R}}^n)$. Analogous estimations are derived for their commutators, contingent upon the symbol functions residing in the space of bounded mean oscillation (BMO) with variable exponents.