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Weighted Adams type theorem for the Riesz fractional integral in generalized Morrey Space
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.ORCID iD: 0000-0002-8595-4326
Number of Authors: 22016 (English)In: Fractional Calculus and Applied Analysis, ISSN 1311-0454, E-ISSN 1314-2224, Vol. 19, no 4, p. 954-972Article in journal (Refereed) Published
Abstract [en]

We prove the boundedness of the Riesz fractional integration operator from a generalized Morrey space L-p,L-phi to a certain Orlicz-Morrey space L-Phi,L-phi which covers the Adams result for Morrey spaces. We also give a generalization to the case of weighted Riesz fractional integration operators for some class of weights.

Place, publisher, year, edition, pages
2016. Vol. 19, no 4, p. 954-972
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-59748ISI: 000383390700014Scopus ID: 2-s2.0-84985023407OAI: oai:DiVA.org:ltu-59748DiVA, id: diva2:1037230
Note

Validerad; 2016; Nivå 2; 2016-10-14 (andbra)

Available from: 2016-10-14 Created: 2016-10-14 Last updated: 2018-06-15Bibliographically approved

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Burtseva, EvgeniyaSamko, Natasha

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