On the boundedness of B-Riesz potential and its commutators on generalized weighted B-Morrey spaces

Abstract

In the present paper, we shall investigate a characterization for the boundedness of the B - Riesz potential and its commutators on the generalized weighted B -Morrey spaces. We also give a characterization for the generalized weighted B -Morrey spaces via the boundedness of the Riesz potential and its commutators generated by generalized translate operators associated with Laplace-Bessel differential operator.