Repository logo
 
Publication

Weighted hardy and singular operators in morrey spaces

2009-02Journal article Open access
Simple item page
dc.contributor.authorSamko, Natasha
dc.date.accessioned2018-12-07T14:53:00Z
dc.date.available2018-12-07T14:53:00Z
dc.date.issued2009-02
dc.description.abstractWe study the weighted boundedness of the Cauchy singular integral operator S-Gamma in Morrey spaces L-p,L-lambda '(Gamma) on Curves satisfying the arc-chord condition, for a class of "radial type" almost monotonic weights. The non-weighted boundedness is shown to hold on an arbitrary Carleson curve. We show that the weighted boundedness is reduced to the boundedness of weighted Hardy operators in Morrey spaces L-p,L-lambda(0. e), e > 0. We find conditions for weighted Hardy operators to be bounded in Morrey spaces. To cover the case of curves we also extend the boundedness of the Hardy-Littlewood maximal operator in Morrey spaces, known in the Euclidean setting, to the case of Carleson curves. (c) 2008 Elsevier Inc. All rights reserved.
dc.description.sponsorshipFCT, Portugal [SFRH/BPD/34258/2006]; INTAS [06-10000178792]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.jmaa.2008.09.021
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.urihttp://hdl.handle.net/10400.1/11307
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.subjectIntegral-operators
dc.subjectHomogeneous type
dc.subjectFractional integrals
dc.subjectRiesz-potentials
dc.subjectMaximal operator
dc.subjectInequalities
dc.subjectBoundedness
dc.subjectCampanato
dc.subjectInfinity
dc.titleWeighted hardy and singular operators in 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.endPage72
oaire.citation.issue1
oaire.citation.startPage56
oaire.citation.titleJournal of Mathematical Analysis and Applications
oaire.citation.volume350
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
relation.isAuthorOfPublicationc62c12ab-9e05-42ad-9ba0-d15ba8b938c6
relation.isAuthorOfPublication.latestForDiscoveryc62c12ab-9e05-42ad-9ba0-d15ba8b938c6
relation.isProjectOfPublication43fdc700-9e51-4625-80c7-36f586a3e018
relation.isProjectOfPublication.latestForDiscovery43fdc700-9e51-4625-80c7-36f586a3e018

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
handle11307.pdf
Size:
278.76 KB
Format:
Adobe Portable Document Format
Download

Collections

FCT2-Artigos (em revistas ou actas indexadas)