Characterizations for the fractional integral operators in generalized Morrey spaces on Carnot groups
Yazarlar (3)
Niğde Ömer Halisdemir University, Türkiye
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematical Notes (Q3) | ||
| Dergi ISSN | 0001-4346 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2017 |
| Cilt / Sayı / Sayfa | 102 / 5 / 722–734 | DOI | 10.1134/S0001434617110116 |
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 21 |
| SCOPUS | 23 |
| Google Scholar | 31 |