Marcinkiewicz integrals associated with Schrödinger operator and their commutators on vanishing generalized Morrey spaces
Yazarlar (3)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Mehriban N Omarova
Azerbaijan National Academy Of Sciences, Azerbaycan
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Boundary Value Problems (Q4) | ||
| Dergi ISSN | 1687-2762 | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2017 |
| Cilt / Sayı / Sayfa | 2017 / 1 / 121–0 | DOI | 10.1186/s13661-017-0851-4 |
| Makale Linki | http://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-017-0851-4 | ||
| Özet |
| Let be a Schrödinger operator, where Δ is the Laplacian on and the non-negative potential V belongs to the reverse Hölder class for . In this paper, we study the boundedness of the Marcinkiewicz integral operators and their commutators with on generalized Morrey spaces associated with Schrödinger operator and vanishing generalized Morrey spaces associated with Schrödinger operator. We find the sufficient conditions on the pair which ensure the boundedness of the operators from one vanishing generalized Morrey space to another , and from the space to the weak space . When b belongs to and satisfies some conditions, we also show that is bounded from to and from to , . |
| Anahtar Kelimeler |
| BMO | commutator | Marcinkiewicz integral | Schrödinger operator | vanishing generalized Morrey space |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 14 |
| SCOPUS | 12 |
| Google Scholar | 22 |