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

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.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-04-11
DOI
https://doi.org/10.15672/hujms.1472848
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Fatih Deringöz, Kendal Dorak, Vagif S. Guliyev
Hacettepe Journal of Mathematics and Statistics
Advanced Harmonic Analysis Research
article

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

Fatih Deringöz, Kendal Dorak, Vagif S. Guliyev
article en

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.

Hacettepe Journal of Mathematics and StatisticsVol. 54(6)
Baku State University (AZ), Ahi Evran University (TR)
Openalex Percentile: Top 90%
Advanced Harmonic Analysis Research
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