Multilinear fractional integral with rough kernel on variable exponent Morrey-Herz spaces

In this article, we study a class of the multilinear fractional integral with rough kernel on Morrey-Herz space with p ( ⋅ ) , q ( ⋅ ) , α ( ⋅ ) . By using the properties of the variable exponent spaces, the boundedness of the multilinear fractional integral operator is obtained on variable nonhomogeneous Morrey-Herz spaces M K α ( ⋅ ) , λ q ( ⋅ ) , p ( ⋅ ) ( R n ) .