Generalized Sobolev–Morrey estimates for hypoelliptic operators on homogeneous groups
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas (Q1) | ||
| Dergi ISSN | 1578-7303 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 02-2021 |
| Cilt / Sayı / Sayfa | 115 / 2 / 195–0 | DOI | 10.1007/s13398-021-01009-3 |
| Makale Linki | http://dx.doi.org/10.1007/s13398-021-01009-3 | ||
| Özet |
| Let G be a homogeneous group on RN and X0, X1,..., Xm (m< N) be left invariant real vector fields on G. Assume that X1,..., Xm are homogeneous of degree one and X0 is homogeneous of degree two satisfying Hörmander’s condition rank L (X0, X1,..., Xm)(x)= N, x∈ G, where L (X0, X1,..., Xm) denotes the Lie algebra generated by X0, X1,..., Xm. We are interested in the following hypoelliptic operator with drift |
| Anahtar Kelimeler |
| Fractional integral operator | Generalized Morrey space | Generalized Sobolev–Morrey estimates | Homogeneous group | Hypoelliptic operators with drift | Singular integral operators |
