| Yazarlar |
Vagif Guliyev
|
Fatih DERİNGÖZ
Ahi Evran Üniversitesi, Türkiye |
|
Sabir Hasanov
|
| 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 yayımlanan tam makale |
| Dergi Adı | JOURNAL OF INEQUALITIES AND APPLICATIONS |
| Dergi ISSN | 1029-242X |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 04-2017 |
| Cilt No | 2017 |
| Sayı | 1 |
| Doi Numarası | 10.1186/s13660-017-1349-4 |
| Makale Linki | http://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-017-1349-4 |
| Atıf Sayıları | |
| WoS | 12 |
| SCOPUS | 16 |
| Google Scholar | 26 |
