FRACTIONAL INTEGRAL ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES
Yazarlar (4)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Ramin Guliyev Azerbaijan National Academy Of Sciences, Azerbaycan
Suleyman Celik Kırşehir Ahi Evran Üniversitesi, Türkiye
Mehriban N Omarova
Baku State University, Azerbaycan
Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Inequalities | ||
| Dergi ISSN | 1846-579X Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2018 |
| Kabul Tarihi | 12-04-2026 | Yayınlanma Tarihi | 01-01-2018 |
| Cilt / Sayı / Sayfa | 12 / 3 / 789–805 | DOI | – |
| Makale Linki | http://files.ele-math.com/abstracts/jmi-12-60-abs.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, 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 |
| BMO | Commutator | Fractional integral associated with Schrödinger operator | Vanishing generalized Morrey space associated with Schrödinger operator |
