Weighted Integral Inequalities for the Hardy Type Operator and the FractionalMaximal Operator

Let w(x), u(x) and (x) be weight functions. In this paper, underappropriate conditions on Young's functions ₁, ₂ we characterizethe inequality for the Hardy-typeoperator T defined in 1] and the inequality for the fractional maximal operator M_{, ;} definedin 8], as well as the corresponding weak-type inequalities.