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

Published 5 Jan 2021 in math.FA | (2101.01545v2)

Abstract: 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.

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