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
Süleyman Çelik 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 | 1687-2762 | ||
| 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 space, is a Schrödinger operator on with nonnegative potential V belonging to the reverse Hölder class . The fractional integral operator associated with L is denoted by . We investigate the boundedness of and , which are its commutators with on vanishing generalized mixed Morrey spaces related to Schrödinger operation and generalized mixed Morrey spaces . The boundedness of the operator is ensured by finding sufficient conditions on the pair , which goes from to , and from to , . When b belongs to and satisfies some conditions, we also show that the commutator operator is bounded from to and from to . |
| Anahtar Kelimeler |
| BMO | Commutator | Fractional integral | Schrödinger operator | Vanishing generalized mixed Morrey space |