Boundedness of the Riesz potential in central Morrey-Orlicz spaces

Boundedness of the maximal operator and the Calderón–Zygmund singular integral operators in central Morrey–Orlicz spaces were proved in papers (Maligranda et al. in Colloq Math 138:165–181, 2015; Maligranda et al. in Tohoku Math J 72:235–259, 2020) 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. Validerad;2022;Nivå 2;2022-03-22 (hanlid);Funder: Japan Society for the Promotion of Science (17K05306, 20K03663)