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arXiv:2101.01545 [math.FA]AbstractReferencesReviewsResources

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

Evgeniya Burtseva, Lech Maligranda, Katsuo Matsuoka

Published 2021-01-05Version 1

Boundedness of the maximal function and the Calder\'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.

Comments: 22 pages
Categories: math.FA
Subjects: 46E30, 47A30
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