On boundedness of a certain class of hardy–steklov type operators in lebesgue spaces

Lp–Lq–boundedness of the map [Math Equation] is described by different types of criteria expressed in terms of given parameters 0 < p, q < ∞, strictly increasing boundaries a(x) and b(x), locally integrable weight functions v, w and a positive continuous kernel k(x, y) satisfying some growth conditions.