Vanishing generalized Orlicz-Morrey spaces and fractional maximal operator
Yazarlar (3)
Prof. Dr. Fatih DERİNGÖZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Kırşehir 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) | ||
| Dergi Adı | Publicationes Mathematicae Debrecen (Q3) | ||
| Dergi ISSN | 0033-3883 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2017 |
| Cilt / Sayı / Sayfa | 90 / 1 / 125–147 | DOI | 10.5486/PMD.2017.7494 |
| Makale Linki | https://www.researchgate.net/profile/Fatih-Deringoz/publication/311653170_Vanishing_generalized_Orlicz-Morrey_spaces_and_fractional_maximal_operator/links/58529a9308aef7d030a5102f/Vanishing-generalized-Orlicz-Morrey-spaces-and-fractional-maximal-oper | ||
| Özet |
| We find sufficient conditions for the non-triviality of the generalized Orlicz–Morrey spaces MΦ, ϕ (Rn), and prove the boundedness of the fractional maximal operator and its 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 functions Φ (u), Ψ (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 | Fractional maximal operator | Vanishing generalized Orlicz-Morrey space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 12 |
| SCOPUS | 14 |
| Google Scholar | 19 |