| dc.contributor.author | Blahota, Istvan | |
| dc.contributor.author | Nagy, Karoly | |
| dc.contributor.author | Persson, Lars Erik | |
| dc.contributor.author | Tephnadze, George | |
| dc.date.accessioned | 2019-04-09T13:18:31Z | |
| dc.date.available | 2019-04-09T13:18:31Z | |
| dc.date.issued | 2018-09-20 | |
| dc.description.abstract | The 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.sponsorship | Research 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.description | Accepted 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.citation | Blahota, 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.cristinID | FRIDAID 1622723 | |
| dc.identifier.doi | 10.1515/gmj-2018-0045 | |
| dc.identifier.issn | 1072-947X | |
| dc.identifier.issn | 1572-9176 | |
| dc.identifier.uri | https://hdl.handle.net/10037/15183 | |
| dc.language.iso | eng | en_US |
| dc.publisher | De Gruyter | en_US |
| dc.relation.journal | Georgian Mathematical Journal | |
| dc.rights.accessRights | openAccess | en_US |
| dc.subject | VDP::Mathematics and natural science: 400::Mathematics: 410 | en_US |
| dc.subject | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
| dc.title | A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces | en_US |
| dc.type | Journal article | en_US |
| dc.type | Peer reviewed | en_US |
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