| Yazarlar (1) |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| We study some necessary and sufficient conditions for the boundedness of the Riesz potential operator Iα and its commutator on the total Morrey spaces Lp,λ,μ(Rn). We characterize the strong and weak Spanne type and Adams type boundedness of Iα on Lp,λ,μ(Rn), respectively. We also give necessary and sufficient conditions for the boundedness of the commutator of the Riesz potential operator [b,Iα] on Lp,λ,μ(Rn) when b belongs to the spaces BMO(Rn). As applications, we obtain some estimates for the Marcinkiewicz operator and fractional powers of some analytic semigroups on the total Morrey spaces. |
| Anahtar Kelimeler |
| BMO space | Commutator | Fractional powers of some analytic semigroups | Marcinkiewicz operator | Maximal operator | Riesz potential | Total Morrey spaces |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Positivity |
| Dergi ISSN | 1385-1292 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2026 |
| Cilt No | 30 |
| Sayı | 1 |
| Sayfalar | 1 / 20 |
| DOI Numarası | 10.1007/s11117-025-01165-5 |
| Makale Linki | https://link.springer.com/article/10.1007/s11117-025-01165-5 |
| Atıf Sayıları |
