| Yazarlar |
Doç. Dr. Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye |
Vagif Guliyev
|
|
Stefan Samko
|
| 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 |
| vanishing generalized Orlicz Morrey space, fractional maximal operator, commutator, BMO |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Publicationes Mathematicae Debrecen |
| Dergi ISSN | 0033-3883 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2017 |
| Cilt No | 90 |
| Sayı | 1 |
| Sayfalar | 125 / 147 |
| Doi Numarası | 10.5486/PMD.2017.7494 |
| Makale Linki | http://www.math.klte.hu/publi/load_pdf.php?p=2129 |
| Atıf Sayıları | |
| WoS | 6 |
| SCOPUS | 9 |
| Google Scholar | 13 |
