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 (Q4) | ||
| 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 (Formula presented.) including their weak versions (Formula presented.). We find the sufficient conditions on the pairs (Formula presented.) which ensures the boundedness of the fractional maximal operator (Formula presented.) to (Formula presented.) and from (Formula presented.) to (Formula presented.). As applications of those results, the boundedness of the commutators of the fractional maximal operator (Formula presented.) with (Formula presented.) on the spaces (Formula presented.) is also obtained. In all the cases the conditions for the boundedness are given in terms of supremal-type inequalities on weights (Formula presented.), which do not assume any assumption on monotonicity of (Formula presented.) on r. |
| Anahtar Kelimeler |
| BMO | Commutator | Fractional maximal operator | Generalized Orlicz–Morrey space |