GENERALIZED WEIGHTED SOBOLEV--MORREY ESTIMATES FOR HYPOELLIPTIC OPERATORS WITH DRIFT ON HOMOGENEOUS GROUPS
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Inequalities | ||
| Dergi ISSN | 1846-579X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2022 |
| Cilt / Sayı / Sayfa | 16 / 1 / 219–245 | DOI | 10.7153/jmi-2022-16-17 |
| Özet |
| Let G = ( RN,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G, X0,X1,...,Xm be left invariant real vector fields on G and satisfy Hörmander's rank condition on RN. Assume that X1,...,Xm (m ≤ N −1) are homogeneous of degree one and X0 is homogeneous of degree two with respect to the family of dilations ( δλ )λ>0. Consider the following hypoelliptic operator with drift on G (Formula Presented), where (aij) is a constant matrix satisfying the elliptic condition in Rm and a0 ≠ 0. In this paper, for this class of operators we obtain generalized weighted Sobolev-Morrey estimates by establishing boundedness of a large class of sublinear operators Tα, α ∈ [0,Q) generated by Calderón-Zygmund operators (α = 0) and generated by fractional integral operator (α > 0) on generalized weighted Morrey spaces and proving interpolation results in generalized weighted Sobolev-Morrey spaces on G |
| Anahtar Kelimeler |
| Fractional integral operator | Generalized weighted morrey spaces | Generalized weighted sobolev-morrey estimates | Homogeneous groups | Hypoelliptic operators with drift | Singular integral operators |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 1 |
| SCOPUS | 1 |