Morrey-type estimates for commutator of fractional integral associated with Schrodinger operators on the Heisenberg group
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Faiq M. Namazov
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 | Advances in Difference Equations | ||
| Dergi ISSN | 1687-1839 | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2018 |
| Cilt / Sayı / Sayfa | 2018 / 1 / 273–0 | DOI | 10.1186/s13662-018-1730-8 |
| Makale Linki | https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-018-1730-8 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| Let be a Schrödinger operator on the Heisenberg group , where the nonnegative potential V belongs to the reverse Hölder class for some , and Q is the homogeneous dimension of . Let b belong to a new Campanato space , and let be the fractional integral operator associated with L. In this paper, we study the boundedness of the commutators with on central generalized Morrey spaces , generalized Morrey spaces , and vanishing generalized Morrey spaces associated with Schrödinger operator, respectively. When b belongs to with , and satisfies some conditions, we show that the commutator operator is bounded from to , from to , and from to , . |
| Anahtar Kelimeler |
| BMO | Campanato space | Central generalized Morrey space | Commutator | Fractional integral | Heisenberg group | Schrödinger operator |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 1 |
| Google Scholar | 2 |