Maximal and Riesz Potential Operators on Musielak-Orlicz Spaces Over Metric Measure Spaces

摘要

Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator M on Musielak-Orlicz spaces L phi(X) over bounded metric measure spaces. As an application of the boundedness of M, we establish a generalization of Sobolev's inequality for Riesz potentials I(bold/bold),f with f is an element of L-Phi (X).