| dc.contributor.author | Blahota, Istvan | |
| dc.contributor.author | Persson, Lars Erik | |
| dc.contributor.author | Tephnadze, G | |
| dc.date.accessioned | 2019-01-24T13:47:47Z | |
| dc.date.available | 2019-01-24T13:47:47Z | |
| dc.date.issued | 2017-03-13 | |
| dc.description.abstract | In this paper, we derive two-sided estimates of the Lebesgue constants for bounded Vilenkin systems, we also present some applications of importance, e.g., we obtain a characterization for the boundedness of a subsequence of partial sums with respect to Vilenkin–Fourier series of H 1 martingales in terms of n's variation. The conditions given in this paper are in a sense necessary and sufficient. | en_US |
| dc.description | Accepted manuscript version. Published version available at <a href=https://doi.org/10.1017/S0017089516000549>https://doi.org/10.1017/S0017089516000549</a> | en_US |
| dc.identifier.citation | Blahota I, Persson LE, Tephnadze G. (2018) Two-sided estimates of the Lebesgue constants with respect to Vilenkin systems and applications. <i>Glasgow Mathematical Journal</i>, 60(1):17-34. https://doi.org/10.1017/S0017089516000549 | en_US |
| dc.identifier.cristinID | FRIDAID 1659494 | |
| dc.identifier.doi | 10.1017/S0017089516000549 | |
| dc.identifier.issn | 0017-0895 | |
| dc.identifier.issn | 1469-509X | |
| dc.identifier.uri | https://hdl.handle.net/10037/14531 | |
| dc.language.iso | eng | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.relation.journal | Glasgow Mathematical Journal | |
| dc.rights.accessRights | embargoedAccess | 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 | Two-sided estimates of the Lebesgue constants with respect to Vilenkin systems and applications | en_US |
| dc.type | Journal article | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Tidsskriftartikkel | no |
English
norsk