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arXiv · 2101.01545

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

Evgeniya Burtseva·Lech Maligranda·Katsuo Matsuoka
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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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Evgeniya Burtseva, Lech Maligranda, Katsuo Matsuoka. 2021-01-05. Boundedness of the Riesz potential in central Morrey--Orlicz spaces. https://arxiv.org/abs/2101.01545

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