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Weighted Hardy and potential operators in the generalized Morrey spaces

2011-05Journal article Open access
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dc.contributor.authorPersson, Lars-Erik
dc.contributor.authorSamko, Natasha
dc.date.accessioned2018-12-07T14:57:51Z
dc.date.available2018-12-07T14:57:51Z
dc.date.issued2011-05
dc.description.abstractWe study the weighted p -> q-boundedness of the multi-dimensional Hardy type operators in the generalized Morrey spaces L-p.phi(R-n, w) defined by an almost increasing function phi(r) and radial type weight w(vertical bar x vertical bar). We obtain sufficient conditions, in terms of some integral inequalities imposed on phi 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. (c) 2010 Elsevier Inc. All rights reserved.
dc.description.sponsorshipLulea University of Technology; FCT, Portugal [SFRH/BPD/34258/2006]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.jmaa.2010.11.029
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.urihttp://hdl.handle.net/10400.1/11731
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAcademic Press Inc Elsevier Science
dc.relationSINGULAR OPERATORS AND POTENTIAL TYPE OPERATORS IN NON-STANDARD FUNCTION SPACES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectSingular integral-operators
dc.subjectFractional integrals
dc.subjectMaximal operator
dc.subjectSufficient conditions
dc.subjectVariable exponent
dc.subjectRiesz-potentials
dc.subjectBoundedness
dc.titleWeighted Hardy and potential operators in the generalized Morrey spaces
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleSINGULAR OPERATORS AND POTENTIAL TYPE OPERATORS IN NON-STANDARD FUNCTION SPACES
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F34258%2F2006/PT
oaire.citation.endPage806
oaire.citation.issue2
oaire.citation.startPage792
oaire.citation.titleJournal of Mathematical Analysis and Applications
oaire.citation.volume377
person.familyNameSamko
person.givenNameNatasha
person.identifier.ciencia-idD611-AA58-E57E
person.identifier.orcid0000-0002-8595-4326
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
rcaap.typearticle
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relation.isAuthorOfPublication.latestForDiscoveryc62c12ab-9e05-42ad-9ba0-d15ba8b938c6
relation.isProjectOfPublication43fdc700-9e51-4625-80c7-36f586a3e018
relation.isProjectOfPublication.latestForDiscovery43fdc700-9e51-4625-80c7-36f586a3e018

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