| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Ismail Ekincioglu
Dumlupinar Üniversitesi, Turkey |
| Özet |
| In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional integral operator Iα, 0 < α < Q on Carnot group (Formula presented) on generalized weighted Morrey spaces Mp,φ((Formula presented),w), respectively, where Q is the homogeneous dimension of (Formula presented). Also we give a characterization for the Spanne type boundedness of the commutator operator [b, Iα] on generalized weighted Morrey spaces. As applications of the properties of the fundamental solution of sub-Laplacian (Formula presented) on (Formula presented), we prove two Sobolev-Stein embedding theorems on generalized weighted Morrey spaces in the Carnot group setting. |
| Anahtar Kelimeler |
| BMO | Carnot group | commutator | fractional integral operator | generalized weighted Morrey space |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Mathematical Inequalities |
| Dergi ISSN | 1846-579X |
| Makale Dili | İngilizce |
| Basım Tarihi | 03-2021 |
| Cilt No | 15 |
| Sayı | 1 |
| Sayfalar | 151 / 171 |
| Doi Numarası | 10.7153/jmi-2021-15-14 |
