Vanishing generalized Orlicz--Morrey spaces and fractional maximal operator
Yazarlar (3)
Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Vagif Guliyev
Kırşehir Ahi Evran Üniversitesi, Türkiye
Stefan Samko
Universidade Do Algarve, Portekiz
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Publicationes Mathematicae Debrecen | ||
| Dergi ISSN | 0033-3883 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2017 |
| Cilt / Sayı / Sayfa | 90 / 1 / 125–147 | DOI | 10.5486/PMD.2017.7494 |
| Makale Linki | http://www.math.klte.hu/publi/load_pdf.php?p=2129 | ||
| Özet |
| We find sufficient conditions for the non-triviality of the generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n), and prove the boundedness of the fractional maximal operator and its commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi (R-n) 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 Phi(u), Psi(u) and the function phi(x,r) defining the space. No kind of monotonicity condition on phi(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 |