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On Dilations of Fourier Multipliers on Weighted Lebesgue Spaces

dc.contributor.authorKarlovych, Oleksiy
dc.contributor.authorShargorodsky, Eugene
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.institutionDM - Departamento de Matemática
dc.coverage.spatialCham
dc.date.accessioned2024-10-28T22:57:35Z
dc.date.embargoedUntil2026-07-02
dc.date.issued2024-07
dc.descriptionPublisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.
dc.description.abstractFor a given p∈(1,∞), we present an example of a Muckenhoupt weight w∈Ap and a Fourier multiplier a on the weighted Lebesgue space Lp(w) such that, for any τ∈ℝ∖{0,1}, the dilation of a given by aτ(ξ)=a(τξ) is not a Fourier multiplier on Lp(w).en
dc.description.versionauthorsversion
dc.description.versionpublished
dc.format.extent14
dc.format.extent229328
dc.identifier.doi10.1007/978-3-031-59397-0_8
dc.identifier.isbn978-3-031-59396-3
dc.identifier.isbn978-3-031-59397-0
dc.identifier.issn0255-0156
dc.identifier.otherPURE: 98897846
dc.identifier.otherPURE UUID: 460f3293-19cf-465f-bcaa-4f483a4f267e
dc.identifier.otherScopus: 85201424558
dc.identifier.urihttp://hdl.handle.net/10362/174179
dc.identifier.urlhttps://www.scopus.com/pages/publications/85201424558
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer
dc.relationinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00297%2F2020/PT
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
dc.relationCenter for Mathematics and Applications
dc.subjectAnalysis
dc.titleOn Dilations of Fourier Multipliers on Weighted Lebesgue Spacesen
dc.typebook part
degois.publication.firstPage109
degois.publication.lastPage122
degois.publication.titleAnalysis without Borders
dspace.entity.typePublication
oaire.awardNumberUIDB/00297/2020
oaire.awardNumberUIDP/00297/2020
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00297%2F2020/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT
oaire.fundingStreamConcurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsembargoedAccess
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relation.isProjectOfPublication65d392f7-8781-4d70-b9f3-069b07d4a311
relation.isProjectOfPublication.latestForDiscovery65d392f7-8781-4d70-b9f3-069b07d4a311

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