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

2021/01/05 by Evgeniya Burtseva, Burtseva, Evgeniya, Lech Maligranda +3
Mathematics · #46E30 #47A30 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #math.FA #msc:46E30 #msc:47A30

paper · pdf · doi:10.48550/arxiv.2101.01545

23 pages, corrected typos, added reference

openalex publication_date 2021/01/05 · arxiv created 2021/04/10 · arxiv updated 2021/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Boundedness of the maximal function and the Caldeón-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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