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Hardy type inequalityin variable lebesgue spaces

2009Journal article Open Access
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dc.contributor.authorRafeiro, Humberto
dc.contributor.authorSamko, Stefan
dc.date.accessioned2018-12-07T14:58:34Z
dc.date.available2018-12-07T14:58:34Z
dc.date.issued2009
dc.description.abstractWe prove that in variable exponent spaces where L-p(.)(Omega), where p(.) satisfies the log-condition and Omega is a bounded domain in R-n with the property that R-n\(Omega) over bar has the cone property, the validity of the Hardy type inequality parallel to 1/delta(x)(alpha)integral(Omega)phi(y)/vertical bar x-y vertical bar(n-alpha)dy parallel to(p(.)) <= C parallel to phi parallel to(p(.)), 0 < alpha < min (1, n/p(+)), where delta(x) is approximately equal to dist(x, partial derivative Omega), is equivalent to a certain property of the domain Omega expressed in terms of alpha and chi(Omega).
dc.identifier.issn1239-629X
dc.identifier.urihttp://hdl.handle.net/10400.1/12094
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSuomalainen Tiedeakatemia
dc.relationOPERADORES HIPERSINGULARES E OPERADORES DE TIPO DE POTENCIAL NOS ESPAÇOS DE LEBESGUE COM EXPOENTE VARIÁVEL
dc.subjectGeneralized Lebesgue
dc.subjectMaximal-Function
dc.subjectSobolev Spaces
dc.subjectL-P(Center-Dot)
dc.subjectOperators
dc.titleHardy type inequalityin variable lebesgue spaces
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleOPERADORES HIPERSINGULARES E OPERADORES DE TIPO DE POTENCIAL NOS ESPAÇOS DE LEBESGUE COM EXPOENTE VARIÁVEL
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBD%2F22977%2F2005/PT
oaire.citation.endPage289
oaire.citation.issue1
oaire.citation.startPage279
oaire.citation.titleAnnales Academiae Scientiarum Fennicae-Mathematica
oaire.citation.volume34
person.familyNameRafeiro
person.familyNameSamko
person.givenNameHumberto
person.givenNameStefan
person.identifier.ciencia-idA11D-7922-0F8C
person.identifier.orcid0000-0002-5304-8572
person.identifier.orcid0000-0002-8022-2863
person.identifier.ridM-3726-2013
person.identifier.scopus-author-id23390151800
person.identifier.scopus-author-id6603416048
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.isAuthorOfPublication7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
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