| Yazarlar |
Tahir S. Gadjiev
Institute of Mathematics and Mechanics Ministry of Science and Education Republic of Azerbaijan, Azerbaijan |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
|
Konul G. Suleymanova
Institute of Mathematics and Mechanics Ministry of Science and Education Republic of Azerbaijan, Azerbaijan |
| Özet |
| In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class Ap by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood operators and Calderón-Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions Dirichlet boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev-Morrey spaces in a smooth bounded domain Ω ⊂ Rn are obtained. |
| Anahtar Kelimeler |
| A priori estimates | Commutators | Generalized weighted Morrey spaces | Uniformly higher-order elliptic equations | VMO |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
| Dergi Adı | Studia Scientiarum Mathematicarum Hungarica |
| Dergi ISSN | 0081-6906 |
| Makale Dili | İngilizce |
| Basım Tarihi | 03-2020 |
| Cilt No | 57 |
| Sayı | 1 |
| Sayfalar | 68 / 90 |
| Doi Numarası | 10.1556/012.2020.57.1.1449 |
