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dc.contributor.authorBlahota, Istvan
dc.contributor.authorNagy, Karoly
dc.contributor.authorPersson, Lars Erik
dc.contributor.authorTephnadze, George
dc.date.accessioned2019-04-09T13:18:31Z
dc.date.available2019-04-09T13:18:31Z
dc.date.issued2018-09-20
dc.description.abstractThe restricted maximal operators of partial sums with respect to bounded Vilenkin systems are investigated. We derive the maximal subspace of positive numbers, for which this operator is bounded from the Hardy space H p to the Lebesgue space L p for all 0<p≤1 . We also prove that the result is sharp in a particular sense.en_US
dc.description.sponsorshipResearch was supported by project TÁMOP-4.2.2.A-11/1/KONV-2012-0051, by Shota Rustaveli National Science Foundation grants DI/9/5-100/13, DO/24/5-100/14, YS15-2.1.1-47, and by a Swedish Institutescholarshipno.10374-2015.en_US
dc.descriptionAccepted manuscript file, 12 months embargo. Published version available at: <a href=https://doi.org/10.1515/gmj-2018-0045>https://doi.org/10.1515/gmj-2018-0045</a>en_US
dc.identifier.citationBlahota, I., Nagy,K., Persson, L.E., Tephnadze, G. A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces. <i>Georgian Mathematical Journal, 2018,</i> 10 s. https://doi.org/10.1515/gmj-2018-0045.en_US
dc.identifier.cristinIDFRIDAID 1622723
dc.identifier.doi10.1515/gmj-2018-0045
dc.identifier.issn1072-947X
dc.identifier.issn1572-9176
dc.identifier.urihttps://hdl.handle.net/10037/15183
dc.language.isoengen_US
dc.publisherDe Gruyteren_US
dc.relation.journalGeorgian Mathematical Journal
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleA sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spacesen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US


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