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dc.contributor.authorLukkassen, Dag
dc.contributor.authorPersson, Lars-Erik
dc.contributor.authorSamko, Stefan
dc.date.accessioned2022-11-14T11:22:41Z
dc.date.available2022-11-14T11:22:41Z
dc.date.created2013-01-22T14:48:12Z
dc.date.issued2012
dc.identifier.citationJournal of Function Spaces and Applications. 2012, .
dc.identifier.issn0972-6802
dc.identifier.urihttps://hdl.handle.net/11250/3031657
dc.description.abstractWe study the weighted -boundedness of the multidimensional weighted Hardy-type operators and with radial type weight , in the generalized complementary Morrey spaces defined by an almost increasing function . We prove a theorem which provides conditions, in terms of some integral inequalities imposed on and , for such a boundedness. These conditions are sufficient in the general case, but we prove that they are also necessary when the function and the weight are power functions. We also prove that the spaces over bounded domains Ω are embedded between weighted Lebesgue space with the weight and such a space with the weight , perturbed by a logarithmic factor. Both the embeddings are sharp.
dc.description.abstractWeighted Hardy Operators in Complementary Morrey Spaces
dc.language.isoeng
dc.titleWeighted Hardy Operators in Complementary Morrey Spaces
dc.title.alternativeWeighted Hardy Operators in Complementary Morrey Spaces
dc.typePeer reviewed
dc.typeJournal article
dc.description.versionpublishedVersion
dc.source.pagenumber19
dc.source.journalJournal of Function Spaces and Applications
dc.identifier.doi10.1155/2012/283285
dc.identifier.cristin995257
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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