On basicity of exponential and trigonometric systems in grand Lebesgue spaces
| dc.contributor.author | Ismailov, Migdad I. | |
| dc.contributor.author | Zeren, Yusuf | |
| dc.contributor.author | Acar, Kader Simsir | |
| dc.contributor.author | Aliyarova, Ilahe F. | |
| dc.date.accessioned | 2023-01-30T10:51:21Z | |
| dc.date.available | 2023-01-30T10:51:21Z | |
| dc.date.issued | 2022 | en_US |
| dc.department | Enstitüler, Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalı | en_US |
| dc.description.abstract | Basis properties of exponential and trigonometric systems in grand Lebesgue spaces Lp) (??, ?) are studied. Based on a shift operator, we consider the subspace Gp) (??, ?) of the space Lp) (??, ?), where continuous functions are dense, and the boundedness of the singular operator in this subspace is proved. We establish the basicity of exponential system {e int}n?Z for Gp) (??, ?) and the basicity of trigonometric systems {sin nt}n?N and {cos nt}n?N0 for Gp) (0, ?). | en_US |
| dc.identifier.doi | 10.15672/hujms.1076849 | en_US |
| dc.identifier.scopus | 2-s2.0-85141858173 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.trdizinid | 1163008 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11467/6164 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.1076849 | |
| dc.identifier.wos | WOS:000889924600006 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe University | en_US |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | grand Lebesgue space, exponential system, minimality, density, basis | en_US |
| dc.title | On basicity of exponential and trigonometric systems in grand Lebesgue spaces | en_US |
| dc.type | Article | en_US |
