Multidimensional weighted Hardy operators and their commutators in Morrey spaces

Abstract

In this paper we take into account multidimensional weighted Hardy operators. We investigate the conditions for the boundedness of weighted Hardy operator, Hardy Ces`aro type operator and their commutators in Morrey spaces. Furthermore, we find the sufficient conditions for the boundedness of these operators in the spaces LBθ(Rn) and BMO(Rn), respectively