FRACTIONAL INTEGRAL ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES
Yazarlar (3)
ÖĞRETİM GÖREVLİSİ Süleyman Çelik Fırat Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Open Mathematics (Q2) | ||
| Dergi ISSN | 2391-5455 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2018 |
| Cilt / Sayı / Sayfa | 22 / 1 / 17–12 | DOI | 10.1515/math-2024-0082 |
| Makale Linki | https://www.degruyter.com/document/doi/10.1515/math-2024-0082/html?srsltid=AfmBOorhKQjqj7267Cq0_QmbXtaE7L0W0ApTVNg6UavhRiBFMVeMBVt3 | ||
| 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, and let I L β be the fractional integral operator associated with L. In this paper, we study the boundedness of the operator I L β and its commutators [b, I L β] with b∈ BMOθ (ρ) on generalized Morrey spaces associated with Schrödinger operator M α, V p, ϕ and vanishing generalized Morrey spaces associated with Schrödinger operator VM α, V p, ϕ. We find the sufficient conditions on the pair (ϕ1, ϕ2) which ensures the boundedness of the operator I L β from M α, V p, ϕ1 to M α, V q, ϕ2 and from VM α, V p, ϕ1 to |
| Anahtar Kelimeler |
| commutator | fractional integral | Lipschitz function | local generalized mixed Morrey space | Schrödinger operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları |