| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Süleyman Çelik
Fırat Üniversitesi, Türkiye |
| Özet |
| With b belonging to a new BMOθ(ρ) space, L=−△+V is a Schrödinger operator on Rn with nonnegative potential V belonging to the reverse Hölder class RHn/2. The fractional integral operator associated with L is denoted by IβL. We investigate the boundedness of IβL and [b,IβL], which are its commutators with bθ(ρ) on vanishing generalized mixed Morrey spaces VMp→,φα,V related to Schrödinger operation and generalized mixed Morrey spaces Mp→,φα,V. The boundedness of the operator IβL is ensured by finding sufficient conditions on the pair (φ1,φ2), which goes from Mp→,φ1α,V to Mq→,φ2α,V, and from VMp→,φ1α,V to VMq→,φ2α,V, ∑i=1n1pi−∑i=1n1qi=β. When b belongs to BMOθ(ρ) and (φ1,φ2) satisfies some conditions, we also show that the commutator operator [b,IβL] is bounded from Mp→,φ1α,V to Mq→,φ2α,V and from VMp→,φ1α,V to VMq→,φ2α,V. |
| Anahtar Kelimeler |
| BMO | Commutator | Fractional integral | Schrödinger operator | Vanishing generalized mixed Morrey space |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Boundary Value Problems |
| Dergi ISSN | 1687-2770 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 10-2024 |
| Cilt No | 2024 |
| Sayı | 2024 |
| Sayfalar | 1 / 17 |
| Doi Numarası | 10.1186/s13661-024-01950-3 |
| Makale Linki | https://link.springer.com/article/10.1186/s13661-024-01950-3?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=oa_20241021&utm_content=10.1186/s13661-024-01950-3 |
