The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces
Yazarlar (3)
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Studia Scientiarum Mathematicarum Hungarica | ||
| Dergi ISSN | 0081-6906 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2020 |
| Cilt / Sayı / Sayfa | 57 / 1 / 68–90 | DOI | 10.1556/012.2020.57.1.1449 |
| 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 |