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dc.contributor.authorBaramidze, David
dc.contributor.authorPersson, Lars-Erik
dc.contributor.authorSingh, Harpal
dc.contributor.authorTephnadze, George
dc.date.accessioned2022-09-02T10:54:17Z
dc.date.available2022-09-02T10:54:17Z
dc.date.issued2022-03-07
dc.description.abstractWe prove that there exists a martingale f ∈ H<sub>p</sub> such that the subsequence {L<sub>2n</sub f} of Nörlund logarithmic means with respect to the Walsh system are not bounded from the martingale Hardy spaces H<sub>p</sub> to the space weak – L<sub>p</sub> for 0 < p < 1. We also prove that for any f ∈ L<sub>p</sub>, p ≥ 1, L<sub>2n</sub> f converge to f at any Lebesgue point x. Moreover, some new related inequalities are derived.en_US
dc.identifier.citationBaramidze, Persson, Singh, Tephnadze. Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh–Fourier series. Journal of Inequalities and Applications. 30(2022)en_US
dc.identifier.cristinIDFRIDAID 2014924
dc.identifier.doi10.1186/s13660-022-02765-5
dc.identifier.issn1025-5834
dc.identifier.issn1029-242X
dc.identifier.urihttps://hdl.handle.net/10037/26597
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.journalJournal of Inequalities and Applications
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2022 The Author(s)en_US
dc.titleSome new results and inequalities for subsequences of Nörlund logarithmic 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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