Variable exponent weighted norm inequality for generalized Riesz potentials on the unit ball

摘要

Our aim in this paper is to establish variable exponent weighted norm inequalities for generalized Riesz potentials on the unit ball via norm inequalities in variable exponent non-homogeneous central Herz-Morrey spaces on the unit ball. As an application, we shall show Sobolev-type integral representation for a -function on which vanishes outside the unit ball.