Weighted inequalities for quasilinear integral operators on the semiaxis and application to the Lorentz spaces
Weighted $L^p-L^r$ inequalities with arbitrary measurable non-negative weights for positive quasilinear integral operators with Oinarov's kernel on the semiaxis are characterized. Application to the boundedness of maximal operator in the Lorentz $Γ-$spaces is given.
math.FA↗