Boundedness of the Riesz potential in central Morrey--Orlicz spaces

Abstract

Boundedness of the maximal function and the Caldeón-Zygmund singular integrals in central Morrey-Orlicz spaces were proved in papers by the second and third authors. The weak-type estimates have also been proven. Here we show boundedness of the Riesz potential in central Morrey-Orlicz spaces and the corresponding weak-type version.

arXiv comment23 pages, corrected typos, added reference