Fractional maximal operator associated with Schrodinger operator and its commutators on vanishing generalized Morrey spaces,
Yazarlar (3)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Süleyman Çelik Kırşehir Ahi Evran Üniversitesi, Türkiye
Mehriban N Omarova
Baku State University, Azerbaycan
Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Transactions of National Academy of Sciences of Azerbaijan Series of Physical Technical and Mathematical Sciences | ||
| Dergi ISSN | 3005-8139 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Scopus | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2024 |
| Kabul Tarihi | 12-04-2026 | Yayınlanma Tarihi | – |
| Cilt / Sayı / Sayfa | 44 / 1 / 3–19 | DOI | 10.30546/2617-7900.44.1.2024.3 |
| Makale Linki | chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://trans.imm.az/volumes/44-1/4401-01.pdf | ||
| Özet |
| Let L=−△+ V be a Schrödinger operator, where the non-negative potential V belongs to the reverse Hölder class RHn/2, let b belong to a new BMOθ (ρ) space which is larger than the classical BMO space, and let Mθ β, V be the fractional maximal operator associated with L. In this paper, we study the boundedness of the operator Mθ β, V and its commutators [b, Mθ β, V] with b∈ BMOθ (ρ) on generalized Morrey spaces M α, V p, ϕ associated with Schrödinger operator and vanishing generalized Morrey spaces VM α, V p, ϕ associated with Schrödinger operator. We find the sufficient conditions on the pair (ϕ1, ϕ2) which ensures the boundedness of the operators Mθ β, V from one vanishing generalized Morrey space |
| Anahtar Kelimeler |
| BMO | commutator | fractional maximal operator | generalized Morrey space | Schrödinger operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Google Scholar | 9 |
| Scopus | 5 |