Notes on bilinear multipliers on Orlicz spaces

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dc.contributor.authorBlasco, Oscar
dc.contributor.authorOsancliol, Alen
dc.date.accessioned2024-03-13T10:30:39Z
dc.date.available2024-03-13T10:30:39Z
dc.date.issued2019
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractLet phi(1),phi(2) and phi(3) be Young functions and let L-phi 1(R), L-phi 2(R) and L-phi 3(R) be the corresponding Orlicz spaces. We say that a function m(xi,eta) defined on RxR is a bilinear multiplier of type (phi(1),phi(2),phi(3)) if Bm(f,g)(x)=integral(R)integral(R)f(xi)g(eta)m(xi,eta)e(2 pi i(xi+eta)x)d xi d eta defines a bounded bilinear operator from L-phi 1(R)xL(phi 2)(R) to L-phi 3(R). We denote by BM(phi(1),phi(2),phi(3))(R) the space of all bilinear multipliers of type (phi(1),phi(2),phi(3)) and investigate some properties of such a class. Under some conditions on the triple (phi(1),phi(2),phi(3)) we give some examples of bilinear multipliers of type (phi(1),phi(2),phi(3)). We will focus on the case m(xi,eta)=M(xi-eta) and get necessary conditions on (phi(1),phi(2),phi(3)) to get non-trivial multipliers in this class. In particular we recover some of the known results for Lebesgue spaces.en_US
dc.description.sponsorshipTurkiye Bilimsel ve Teknolojik Arastirma Kurumu; TUBITAK-BIDEB grant [1059B19]; Consejo Superior de Investigaciones Cientificas; [MTM2014-53009-P]en_US
dc.description.sponsorshipTurkiye Bilimsel ve Teknolojik Arastirma Kurumu, Grant/Award Number: Supported by TUBITAK-BIDEB grant number 1059B19; Consejo Superior de Investigaciones Cientificas, Grant/Award Number: Partially supported by Proyecto MTM2014-53009-Pen_US
dc.identifier.doi10.1002/mana.201800551
dc.identifier.endpage2536en_US
dc.identifier.issn0025-584X
dc.identifier.issn1522-2616
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85071582353en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage2522en_US
dc.identifier.urihttps://doi.org/10.1002/mana.201800551
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3456
dc.identifier.volume292en_US
dc.identifier.wosWOS:000484625400001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWiley-V C H Verlag Gmbhen_US
dc.relation.ispartofMathematische Nachrichtenen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectbilinear multipliersen_US
dc.subjectOrlicz spacesen_US
dc.titleNotes on bilinear multipliers on Orlicz spacesen_US
dc.typeArticleen_US

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