| 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 |
| Özet |
| Let L= -Delta + V be a Schrodinger operator, where the non-negative potential V belongs to the reverse Holder class RHn/2, let b belong to a new BMO theta(rho) space, and let I-beta(L) be the fractional integral operator associated with L. In this paper, we study the boundedness of the operator I-beta(L) and its commutators [b, I-beta(L)] with b is an element of BMO theta(rho) on generalized Morrey spaces associated with Schrodinger operator M-p,phi(alpha,V) and vanishing generalized Morrey spaces associated with Schrodinger operator VMp,phi alpha,V. We find the sufficient conditions on the pair (phi(1), phi(2)) which ensures the boundedness of the operator I-beta(L) from M-p,phi 1(alpha,V) to M-q,phi 2(alpha,V) and from VMp,phi 1 alpha,V to VMq,phi 2 alpha,V, 1/p - 1/q = beta/n. When b belongs to BMO theta(rho) and (phi(1), phi(2)) satisfies some conditions, we also show that the commutator operator [b, I-beta(L)] is bounded from M-p,phi 1(alpha,V) to M-q,phi 2(alpha,V) and from VMp,phi 1 alpha,V to VMq,phi 2 alpha,V, 1/p - 1/q = beta/n. |
| Anahtar Kelimeler |
| BMO | Commutator | Fractional integral associated with Schrödinger operator | Vanishing generalized Morrey space associated with Schrödinger operator |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| 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 |
| Cilt No | 12 |
| Sayı | 3 |
| Sayfalar | 789 / 805 |
| Doi Numarası | 10.7153/jmi-2018-12-60 |
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 7 |
| Google Scholar | 10 |
