Boundedness of intrinsic square functions on weighted Herz-Morrey spaces with variable exponent

The weighted Herz-Morrey spaces with variable exponent are introduced.By using the boundedness of intrinsic square functions on weighted Lebesgue spaces with variable exponent,and applying the real variable theory of harmonic analysis,the properties of variable exponent spaces,as well as the estimate of inequalities,the boundedness of intrinsic square function on weighted Herz-Morrey spaces with variable exponent is proved.