Boundedness of maximal operators and Sobolev's theorem for non-homogeneous central Morrey spaces of variable exponent

Abstract

Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator in non-homogeneous central Morrey spaces of variable exponent. Further, we give Sobolev's inequality and Trudinger's exponential integrability for generalized Riesz potentials.