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Weighted Hardy and potential operators in the generalized Morrey spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2011 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 377, no 2, p. 792-806Article in journal (Refereed) Published
Abstract [en]

We study the weighted p→q-boundedness of the multi-dimensional Hardy type operators in the generalized Morrey spaces Lp,φ(Rn,w) defined by an almost increasing function φ(r) and radial type weight w(|x|). We obtain sufficient conditions, in terms of some integral inequalities imposed on φ and w, for such a p→q-boundedness. In some cases the obtained conditions are also necessary. These results are applied to derive a similar weighted p→q-boundedness of the Riesz potential operator

Place, publisher, year, edition, pages
2011. Vol. 377, no 2, p. 792-806
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-10046DOI: 10.1016/j.jmaa.2010.11.029ISI: 000287223400029Scopus ID: 2-s2.0-79251627044Local ID: 8cdf5e00-f946-11df-8b95-000ea68e967bOAI: oai:DiVA.org:ltu-10046DiVA, id: diva2:982986
Note
Validerad; 2011; 20101126 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Persson, Lars-ErikSamko, Natasha

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