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Commutators of Hardy operators in vanishing Morrey spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
University of Catania.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-8595-4326
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2012 (English)In: 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA 2012 / [ed] Seenith Sivasundaram, Melville, NY: American Institute of Physics (AIP), 2012, p. 859-866Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we study boundedness of commutators of the multi-dimensional Hardy type operators with BMO coefficients, in weighted global and/or local generalized Morrey spaces LΠp,φ(Rn,w) and vanishing local Morrey spaces VLlocp,φ(Rn,w) defined by an almost increasing function φ(r) and radial type weight w(∣x∣). This study is made in the perspective of posterior applications of the weighted results to some problems in the theory of PDE. We obtain sufficient conditions, in terms of some integral inequalities imposed on φ and w, and also in terms of the Matuszewska-Orlicz indices of φ and w, for such a boundedness.

Place, publisher, year, edition, pages
Melville, NY: American Institute of Physics (AIP), 2012. p. 859-866
Series
A I P Conference Proceedings Series, ISSN 0094-243X ; 1493
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-29550DOI: 10.1063/1.4765588ISI: 000312264400127Scopus ID: 2-s2.0-84873160872Local ID: 30e9b72a-8d25-4663-87ba-b0eafd793a9dISBN: 978-0-7354-1105-0 (print)OAI: oai:DiVA.org:ltu-29550DiVA, id: diva2:1002774
Conference
International Conference on Mathematical Problems in Engineering, Aerospace and Sciences : 10/07/2012 - 14/07/2012
Note
Validerad; 2012; 20121122 (ysko)Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2018-07-10Bibliographically approved

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Persson, Lars-ErikSamko, NatashaWall, Peter

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