A new result on boundedness of the Riesz potential in central Morrey-Orlicz spaces

DOI10.1007/S11117-023-01013-4arXiv2302.09538OpenAlexW4387523213MaRDI QIDQ6068740

Evgeniya Burtseva, Lech Maligranda

Publication date: 13 November 2023

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.09538

zbMATH Keywords

Orlicz spacesRiesz potentialOrlicz functionsMorrey-Orlicz spacescentral Morrey-Orlicz spacesweak central Morrey-Orlicz spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Cites Work

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• Maximal function in Beurling–Orlicz and central Morrey–Orlicz spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces

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