Commutator of fractional integral with Lipschitz functions related to Schrödinger operator on local generalized mixed Morrey spaces
Yazarlar (3)
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 | 10-2024 |
| Cilt / Sayı / Sayfa | 22 / 1 / 1–12 | DOI | 10.1515/math-2024-0082 |
| Makale Linki | https://doi.org/10.1515/math-2024-0082 | ||
| Özet |
| Let L = - triangle + V be the Schrodinger operator on R-n, where V not equal 0 is a non-negative function satisfying the reverse Holder class RHq1 for some q(1) > n/2. triangle is the Laplacian on R-n. Assume that b is a member of the Campanato space Lambda(theta)(nu)(rho) and that the fractional integral operator associated with L is I-beta(L). We study the boundedness of the commutators [b , I-beta(L)] with b is an element of Lambda(theta)(nu)(rho) on local generalized mixed Morrey spaces. Generalized mixed Morrey spaces M-(p) over right arrow, phi(alpha , V) , vanishing generalized mixed Morrey spaces VM(p) over right arrow, phi alpha , V , and LM(p) over right arrow, phi alpha , V, {x0}, are related to the Schrodinger operator, in that order. We demonstrate that the commutator operator [b, I-beta(L)] is satisfied when b b belongs to Lambda(theta)(nu)(rho) with theta > 0, 0 < nu < 1, and (phi(1) , phi(2 … |
| Anahtar Kelimeler |
| commutator | fractional integral | Lipschitz function | local generalized mixed Morrey space | Schrödinger operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| SCOPUS | 3 |