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
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 / – | DOI | 10.1186/s13661-017-0851-4 |
| Makale Linki | http://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-017-0851-4 | ||
| Özet |
| Let L= − Δ + V be a Schrödinger operator, where Δ is the Laplacian on Rn and the non-negative potential V belongs to the reverse Hölder class RHq for q≥ n/ 2. In this paper, we study the boundedness of the Marcinkiewicz integral operators μjL and their commutators [b,μjL] with b∈ BMOθ(ρ) on generalized Morrey spaces Mp,φα,V(Rn) associated with Schrödinger operator and vanishing generalized Morrey spaces VMp,φα,V(Rn) associated with Schrödinger operator. We find the sufficient conditions on the pair (φ1, φ2) which ensure the boundedness of the operators μjL from one vanishing generalized Morrey space VMp,V to another VMp,V, 1 < p< ∞ and from the space VM1,V to the weak space VWM1,V. When b belongs to BMOθ(ρ) and (φ1, φ2) satisfies some conditions, we also show that [b,μjL] is bounded from Mp,V to Mp,V and from VMp,V to VMp,V, 1 < p< ∞. |
| 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 |