| Yazarlar |
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| Let L= − Δ + V be a Schrödinger operator on Rn, where n≥ 3 and the nonnegative potential V belongs to the reverse Hölder class RHq1 for some q1> n/ 2. Let b belong to a new Campanato space and IβL be the fractional integral operator associated with L. In this paper, we study the boundedness of the commutators [b,IβL] with b on local generalized Morrey spaces LMp,φα,V,{x0}, generalized Morrey spaces Mp,φα,V and vanishing generalized Morrey spaces VMp,φα,V associated with Schrödinger operator, respectively. When b belongs to with θ> 0 , 0 < ν< 1 and (φ1, φ2) satisfies some conditions, we show that the commutator operator [b,IβL] are bounded from LMp,V,{x0} to LMq,V,{x0}, from Mp,V to Mq,V and from VMp,V to VMq,V, 1 / p− 1 / q= (β+ ν) / n. |
| Anahtar Kelimeler |
| Commutator | Fractional integral | Lipschitz function | Local generalized Morrey space | Schrödinger operator |
| 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 |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 05-2018 |
| Cilt No | 2018 |
| Sayı | 1 |
| Doi Numarası | 10.1186/s13661-018-1002-2 |
| Makale Linki | http://dx.doi.org/10.1186/s13661-018-1002-2 |
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 5 |
