A note on the boundedness of Hardy operators in grand Herz spaces with variable exponent

The fractional Hardy-type operators of variable order is shown to be bounded from the grand Herz spaces Ka(& BULL;),u),& theta; p(& BULL;) (Rn) with variable exponent into the weighted space Ka(& BULL;),u),& theta; & rho;,q(& BULL;) (Rn), where & rho; = (1 +|z1|)-& lambda;and 1 q(z)= when p(z) is not necessarily constant at infinity. 1 & zeta;(z) p(z) - n