B-RIESZ POTENTIAL IN B-LOCAL MORREY-LORENTZ SPACES

Abstract

In this paper, the Riesz potential (B-Riesz potential) which are generated by the Laplace-Bessel differential operator will be studied. We obtain the necessary and sufficient conditions for the boundedness of the B-Riesz potential I gamma alpha in the B-local Morrey-Lorentz spaces Mloc p,q,lambda,gamma(Rnk,+) with the use of the rearrangement inequalities and boundedness of the Hardy operators H nu beta and H beta nu with power weights.