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

Boundedness of the maximal function and the Calde'on-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.