Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Fırat Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | BOUNDARY VALUE PROBLEMS (Q1) | ||
| Dergi ISSN | 1687-2770 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2024 |
| Cilt / Sayı / Sayfa | 2024 / 1 / 1–17 | DOI | 10.1186/s13661-024-01950-3 |
| Makale Linki | https://doi.org/10.1186/s13661-024-01950-3 | ||
| 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 |