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Boundedness and compactness of a class of Hardy type operators
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana .
Department of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, Astana.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Number of Authors: 3
2016 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, no 1, 324Article in journal (Refereed) Published
Abstract [en]

We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these results imply new results in the theory of Hardy type inequalities. As applications both new and well-known results are pointed out.

Place, publisher, year, edition, pages
2016. no 1, 324
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-61208DOI: 10.1186/s13660-016-1266-yISI: 000391730300003ScopusID: 2-s2.0-85006046024OAI: oai:DiVA.org:ltu-61208DiVA: diva2:1058818
Note

Validerad; 2017; Nivå 2; 2017-02-13 (kribac)

Available from: 2016-12-21 Created: 2016-12-21 Last updated: 2017-02-13Bibliographically approved

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