Boundedness of Fractional Maximal Operator and its Commutators on Generalized Orlicz Morrey Spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Complex Analysis and Operator Theory | ||
| Dergi ISSN | 1661-8254 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2015 |
| Cilt / Sayı / Sayfa | 9 / 6 / 1249–1267 | DOI | 10.1007/s11785-014-0401-3 |
| Makale Linki | http://link.springer.com/10.1007/s11785-014-0401-3 | ||
| Özet |
| We consider generalized Orlicz-Morrey spaces including their weak versions . We find the sufficient conditions on the pairs and which ensures the boundedness of the fractional maximal operator from to and from to . As applications of those results, the boundedness of the commutators of the fractional maximal operator with on the spaces is also obtained. In all the cases the conditions for the boundedness are given in terms of supremal-type inequalities on weights , which do not assume any assumption on monotonicity of on r. |
| Anahtar Kelimeler |
| BMO | Commutator | Fractional maximal operator | Generalized Orlicz–Morrey space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 11 |
| SCOPUS | 14 |
| Google Scholar | 21 |