Boundedness of the maximal operator and the Riesz potential on Musielak-Orlicz-Morrey spaces

Year 2025, Volume: 54 Issue: 6, 2244 - 2255, 30.12.2025

Kendal Dorak , Fatih Deringöz , Vagif Guliyev

https://doi.org/10.15672/hujms.1472848

Abstract

In this paper, we investigate the strong and weak type boundedness of the maximal operator in Musielak-Orlicz-Morrey spaces. As an application of this boundedness, we give a sufficient condition for the strong and weak Adams type boundedness of the Riesz potential in these spaces.

Keywords

Musielak-Orlicz-Morrey spaces , Hardy-Littlewood maximal operator , Riesz potential

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