Boundedness of the Riesz potential in central Morrey–Orlicz spaces

Author:

Burtseva EvgeniyaORCID,Maligranda LechORCID,Matsuoka KatsuoORCID

Abstract

AbstractBoundedness 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.

Funder

NOVARTIS Foundation (Japan) for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Theoretical Computer Science,Analysis

Reference42 articles.

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