| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Prof. Dr. Fatih DERİNGÖZ
Kırşehir Ahi Evran Üniversitesi |
| Özet |
| We consider generalized Orlicz-Morrey spaces M-Phi,M-phi(R-n) including their weak versions WM Phi,phi(R-n). In these spaces we prove the boundedness of the Riesz potential from M-Phi,M-phi 1(R-n) to M-Psi,M-phi 2(R-n) and from M-Phi,M-phi 1(R-n) to WM Psi,phi 2(R-n). As applications of those results, the boundedness of the commutators of the Riesz potential on generalized Orlicz-Morrey space is also obtained. In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on (phi(1), phi(2)), which do not assume any assumption on monotonicity of phi(1)(x, r), phi(2)(x, r) in r. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | JOURNAL OF FUNCTION SPACES |
| Dergi ISSN | 2314-8896 |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2014 |
| Cilt No | 2014 |
| Sayı | 1 |
| Doi Numarası | 10.1155/2014/617414 |
| Atıf Sayıları | |
| WoS | 22 |
| SCOPUS | 31 |
| Google Scholar | 54 |
