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Martingale Hardy Spaces and Some New Weighted Maximal Operators of Fejér Means of Walsh–Fourier Series

dc.contributor.authorBaramidze, Davit
dc.contributor.authorBlahota, István
dc.contributor.authorTephnadze, George
dc.contributor.authorToledo, Rodolfo
dc.date.accessioned2024-09-30T11:08:03Z
dc.date.available2024-09-30T11:08:03Z
dc.date.issued2023-10-19
dc.description.abstractIn this paper, we introduce some new weighted maximal operators of the Fejér means of the Walsh–Fourier series. We prove that for some “optimal” weights, these new operators indeed are bounded from the martingale Hardy space H<sub>p</sub>(G)to the Lebesgue space L<sub>p</sub>(G), for 0 < p < 1/2. Moreover, we also prove sharpness of this result. As a consequence, we obtain some new and well-known results.en_US
dc.identifier.citationBaramidze, Blahota, Tephnadze, Toledo. Martingale Hardy Spaces and Some New Weighted Maximal Operators of Fejér Means of Walsh–Fourier Series. Journal of Geometric Analysis. 2024;34(1)en_US
dc.identifier.cristinIDFRIDAID 2233812
dc.identifier.doi10.1007/s12220-023-01455-y
dc.identifier.issn1050-6926
dc.identifier.issn1559-002X
dc.identifier.urihttps://hdl.handle.net/10037/34925
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.relation.journalJournal of Geometric Analysis
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2024 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleMartingale Hardy Spaces and Some New Weighted Maximal Operators of Fejér Means of Walsh–Fourier Seriesen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Med mindre det står noe annet, er denne innførselens lisens beskrevet som Attribution 4.0 International (CC BY 4.0)