English
norskSome new restricted maximal operators of Fejér means of Walsh–Fourier series
| dc.contributor.author | Baramidze, Davit | |
| dc.contributor.author | Baramidze, Lasha | |
| dc.contributor.author | Persson, Lars-Erik | |
| dc.contributor.author | Tephnadze, George | |
| dc.date.accessioned | 2024-01-09T10:17:32Z | |
| dc.date.available | 2024-01-09T10:17:32Z | |
| dc.date.issued | 2023-09-12 | |
| dc.description.abstract | In this paper, we derive the maximal subspace of natural numbers { <i>n<sub>k</sub></i> : <i>k</i> ≥ 0 }, such that the restricted maximal operator, defined by sup<sub><i>k</i>∈ℕ</sub> | σ<i><sub>n<sub>k</sub></sub>F</i> | on this subspace of Fejér means of Walsh–Fourier series is bounded from the martingale Hardy space <i>H</i><sub>1/2</sub> to the Lebesgue space <i>L</i><sub>1/2</sub>. The sharpness of this result is also proved. | en_US |
| dc.identifier.citation | Baramidze D, Baramidze L, Persson LE, Tephnadze G. Some new restricted maximal operators of Fejér means of Walsh–Fourier series. Banach Journal of Mathematical Analysis. 2023;17 | en_US |
| dc.identifier.cristinID | FRIDAID 2218775 | |
| dc.identifier.doi | 10.1007/s43037-023-00300-2 | |
| dc.identifier.issn | 2662-2033 | |
| dc.identifier.issn | 1735-8787 | |
| dc.identifier.uri | https://hdl.handle.net/10037/32380 | |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.relation.journal | Banach Journal of Mathematical Analysis | |
| dc.rights.accessRights | openAccess | en_US |
| dc.rights.holder | Copyright 2023 The Author(s) | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | en_US |
| dc.rights | Attribution 4.0 International (CC BY 4.0) | en_US |
| dc.title | Some new restricted maximal operators of Fejér means of Walsh–Fourier series | en_US |
| dc.type.version | publishedVersion | en_US |
| dc.type | Journal article | en_US |
| dc.type | Tidsskriftartikkel | en_US |
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