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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.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Number of Authors: 2
2016 (English)In: Fractional Calculus and Applied Analysis, ISSN 1311-0454, E-ISSN 1314-2224, Vol. 19, no 4, 954-972 p.Article 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, 954-972 p.
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: diva2:1037230
Note

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

Available from: 2016-10-14 Created: 2016-10-14 Last updated: 2016-10-19Bibliographically approved

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