Boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces

We investigate the boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces. We also present necessary and sufficient conditions for the generalized Riesz potential to be finite under certain assumptions on the kernel.

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Publication Details

Journal
Colloquium Mathematicum
Published
2025-11-04
DOI
https://doi.org/10.4064/cm9633-9-2025
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
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article

Boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces

Evgeniya Burtseva, Lech Maligranda
Colloquium Mathematicum
Advanced Harmonic Analysis Research
article

Boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces

Evgeniya Burtseva, Lech Maligranda
article en

Abstract

We investigate the boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces. We also present necessary and sufficient conditions for the generalized Riesz potential to be finite under certain assumptions on the kernel.

Colloquium Mathematicum
Luleå University of Technology (SE), Poznań University of Technology (PL)
Openalex Percentile: Top 55%
Advanced Harmonic Analysis Research
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Boundedness of the generalized Riesz potential in central Morrey–Orlicz spaces — Evgeniya Burtseva, Lech Maligranda · Colloquium Mathematicum (2025) | TGRS Research Map | TGRS