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A new result on boundedness of the Riesz potential in central Morrey–Orlicz spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0003-1963-6829
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. Institute of Mathematics, Poznań University of Technology, ul. Piotrowo 3a, 60-965, Poznań, Poland.ORCID iD: 0000-0002-9584-4083
2023 (English)In: Positivity (Dordrecht), ISSN 1385-1292, E-ISSN 1572-9281, Vol. 27, no 5, article id 62Article in journal (Refereed) Published
Abstract [en]

We improve our results on boundedness of the Riesz potential in the central Morrey–Orlicz spaces and the corresponding weak-type version. We also present two new properties of the central Morrey–Orlicz spaces: nontriviality and inclusion property.
Place, publisher, year, edition, pages
Springer Nature, 2023. Vol. 27, no 5, article id 62
Keywords [en]
Central Morrey–Orlicz spaces, Morrey–Orlicz spaces, Orlicz functions, Orlicz spaces, Riesz potential, Weak central Morrey–Orlicz spaces
National Category
Mathematical Analysis
Research subject
Applied Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-101976DOI: 10.1007/s11117-023-01013-4ISI: 001189059200001Scopus ID: 2-s2.0-85173831486OAI: oai:DiVA.org:ltu-101976DiVA, id: diva2:1808506
Note

Validerad;2023;Nivå 2;2023-11-14 (hanlid);

Funder: Poznan University of Technology (0213/SBAD/0118);

License full text: CC BY

Available from: 2023-10-31 Created: 2023-10-31 Last updated: 2024-11-20Bibliographically approved

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fulltext(409 kB)110 downloads
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Burtseva, EvgeniyaMaligranda, Lech

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