| Yazarlar (3) |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Sabir G. Hasanov
Ganja State University, Azerbaycan |
| Özet |
| In the present paper, we shall give necessary and sufficient conditions for the strong and weak boundedness of the Riesz potential operator I-alpha on Orlicz spaces. Cianchi (J. Lond. Math. Soc. 60(1): 247-286, 2011) found necessary and sufficient conditions on general Young functions Phi and Psi ensuring that this operator is of weak or strong type from L-Phi into L-Psi. Our characterizations for the boundedness of the above-mentioned operator are different from the ones in (Cianchi in J. Lond. Math. Soc. 60(1): 247-286, 2011). As an application of these results, we consider the boundedness of the commutators of Riesz potential operator [b,I-alpha] on Orlicz spaces when b belongs to the BMO and Lipschitz spaces, respectively. |
| Anahtar Kelimeler |
| BMO | commutator | Lipschitz space | Orlicz space | Riesz potential |
| Makale Türü |
Özgün Makale
|
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Journal of Inequalities and Applications |
| Dergi ISSN | 1025-5834 |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2017 |
| Cilt No | 2017 |
| Sayı | 1 |
| Doi Numarası | 10.1186/s13660-017-1349-4 |
| Atıf Sayıları | |
| WoS | 14 |
| SCOPUS | 18 |
| Google Scholar | 29 |
