Boundedness Of Weıghted Iterated Hardy-Type Operators Involvıng Suprema From Weıghted Lebesgue Spaces Into Weıghted Cesàro Functıon Spaces

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dc.contributor.authorMustafayev, Rza
dc.contributor.authorBilgiçli, Nevin
dc.date.accessioned2025-01-12T17:09:24Z
dc.date.available2025-01-12T17:09:24Z
dc.date.issued2020
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper the boundedness of the weighted iterated Hardy-type operators Tu,b and Tu?,b involving suprema from weighted Lebesgue space Lp(v) into weighted Cesàro function spaces Cesq(w,a) are characterized. These results allow us to obtain the characterization of the boundedness of the supremal operator Ru from Lp(v) into Cesq(w,a) on the cone of monotone non-increasing functions. For the convenience of the reader, we formulate the statement on the boundedness of the weighted Hardy operator Pu,b from Lp(v) into Cesq(w,a) on the cone of monotone non-increasing functions. Under additional condition on u and b, we are able to characterize the boundedness of weighted iterated Hardy-type operator Tu,b involving suprema from Lp(v) into Cesq(w,a) on the cone of monotone non-increasing functions. At the end of the paper, as an application of obtained results, we calculate the norm of the fractional maximal function M? from ?p(v) into ?q(w). © 2020 Michigan State University Press. All rights reserved.
dc.description.sponsorshipScientific Research Projects Commission of the Karamanoglu Mehmetbey University, (47-AG-19)
dc.identifier.citationMustafayev, R., & Bilgiçli, N. (n.d.). Boundedness of weighted iterated Hardy-type operators involving suprema from weighted Lebesgue spaces into weighted Cesàro function spaces. https://projecteuclid.org/euclid.rae/1593482445Real Anal. Exchange, 45(2), 339–374. https://doi.org/10.14321/realanalexch.45.2.0339
dc.identifier.doi10.14321/realanalexch.45.2.0339
dc.identifier.endpage374
dc.identifier.issn0147-1937
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85115860670
dc.identifier.scopusqualityQ4
dc.identifier.startpage339
dc.identifier.urihttps://hdl.handle.net/11492/9255
dc.identifier.volume45
dc.indekslendigikaynakScopus
dc.institutionauthorMustafayev, Rza
dc.institutionauthoridMustafayev, Rza/0000-0002-2806-9646
dc.language.isoen
dc.publisherMichigan State University Press
dc.relation.ispartofReal Analysis Exchange
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCesàro Function Spaces
dc.subjectClassical Lorentz Spaces
dc.subjectFractional Maximal Functions
dc.subjectWeighted İterated Hardy Operators İnvolving Suprema
dc.titleBoundedness Of Weıghted Iterated Hardy-Type Operators Involvıng Suprema From Weıghted Lebesgue Spaces Into Weıghted Cesàro Functıon Spaces
dc.typeArticle

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