Boundedness of the maximal operator and its commutators on vanishing generalized Orlicz Morrey spaces
Yazarlar (3)
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Ahi Evran Üniversitesi, Türkiye
Stefan Samko
Universidade Do Algarve, Portekiz
Universidade Do Algarve, Portekiz
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Annales Academiae Scientiarum Fennicae Mathematica (Q2) | ||
| Dergi ISSN | 1239-629X Dergi Bilgileri (2015) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2015 |
| Cilt / Sayı / Sayfa | 40 / 1 / 535–549 | DOI | 10.5186/aasfm.2015.4029 |
| Makale Linki | http://www.acadsci.fi/mathematica/Vol40/vol40pp535-549.pdf | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| We prove the boundedness of the Hardy–Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz–Morrey spaces VMφ, ϕ (Rn) including weak versions of these spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators involving the Young function Φ (u) and the function ϕ (x, r) defining the space. No kind of monotonicity condition on ϕ (x, r) in r is imposed. |
| Anahtar Kelimeler |
| Bmo | Commutator | Hardy-Littlewood maximal operator | Singular integral operators | Vanishing generalized Orlicz-Morrey space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 19 |
| Scopus | 24 |
| Google Scholar | 30 |