FRACTIONAL INTEGRAL ASSOCIATED WITH SCHRODINGER OPERATOR ON VANISHING GENERALIZED MORREY SPACES
Yazarlar (4)
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
Kırşehir Ahi Evran Üniversitesi, Türkiye
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 |
| Cilt / Sayı / Sayfa | 12 / 3 / 789–805 | DOI | 10.7153/JMI-2018-12-60 |
| Makale Linki | http://files.ele-math.com/abstracts/jmi-12-60-abs.pdf | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 7 |
| Google Scholar | 10 |