An extension of a boundedness result for singular integral operators

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dc.authorid0000-0002-5639-0648
dc.contributor.authorKarlı, Denizen_US
dc.date.accessioned2016-04-08T08:42:20Z
dc.date.available2016-04-08T08:42:20Z
dc.date.issued2016-03-30
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe study some operators originating from classical Littlewood–Paley the- ory. We consider their modification with respect to our discontinuous setup, where the un- derlying process is the product of a one-dimensional Brownian motion and a d-dimensional symmetric stable process. Two operators in focus are the G? and area functionals. Using the results obtained in our previous paper, we show that these operators are bounded on Lp. Moreover, we generalize a classical multiplier theorem by weakening its conditions on the tail of the kernel of singular integrals.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationKarlı, D. (2016). An extension of a boundedness result for singular integral operators. Colloquium Mathematicum, 145(1), 15-33. doi:10.4064/cm6722-1-2016en_US
dc.identifier.doi10.4064/cm6722-1-2016
dc.identifier.endpage33
dc.identifier.issn0010-1354
dc.identifier.issn1730-6302
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84975889735
dc.identifier.scopusqualityQ3
dc.identifier.startpage15
dc.identifier.urihttps://hdl.handle.net/11729/827
dc.identifier.urihttp://dx.doi.org/10.4064/cm6722-1-2016
dc.identifier.volume145
dc.identifier.wosWOS:000377870000002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorKarlı, Denizen_US
dc.institutionauthorid0000-0002-5639-0648
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherPolska Akademia Nauken_US
dc.relation.ispartofColloquium Mathematicumen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMultiplieren_US
dc.subjectSymmetric stable processen_US
dc.subjectSingular integralsen_US
dc.subjectProbabilistic Littlewood–Paley functionsen_US
dc.subjectArea functionalen_US
dc.subjectG∗ functionalen_US
dc.subjectInequalityen_US
dc.titleAn extension of a boundedness result for singular integral operatorsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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