| Yazarlar (3) |
A. Eroglu
|
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
|
J. V. Azizov
|
| Özet |
| In this paper, we study the boundedness of the fractional integral operator I (alpha) on Carnot group G in the generalized Morrey spaces M (p, phi) (G). We shall give a characterization for the strong and weak type boundedness of I (alpha) on the generalized Morrey spaces, respectively. As applications of the properties of the fundamental solution of sub-Laplacian L on G, we prove two Sobolev-Stein embedding theorems on generalized Morrey spaces in the Carnot group setting. |
| Anahtar Kelimeler |
| Carnot group | fractional integral operator | generalized Morrey space |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | MATHEMATICAL NOTES |
| Dergi ISSN | 0001-4346 |
| Dergi Grubu | Q3 |
| Makale Dili | İngilizce |
| Basım Tarihi | 11-2017 |
| Cilt No | 102 |
| Sayı | 5 |
| Sayfalar | 722 / 734 |
| Doi Numarası | 10.1134/S0001434617110116 |
| Atıf Sayıları | |
| WoS | 18 |
| SCOPUS | 20 |
| Google Scholar | 30 |
