Characterizations for the Fractional Integral Operator and its Commutators in Generalized Weighted Morrey Spaces on Carnot Groups
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Ismail Ekincioglu
Dumlupinar Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | Journal of Mathematical Inequalities | ||
| Dergi ISSN | 1846-579X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2021 |
| Cilt / Sayı / Sayfa | 15 / 1 / 151–171 | DOI | 10.7153/jmi-2021-15-14 |
| Özet |
| In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional integral operator Iα, 0 < α < Q on Carnot group (Formula presented) on generalized weighted Morrey spaces Mp,φ((Formula presented),w), respectively, where Q is the homogeneous dimension of (Formula presented). Also we give a characterization for the Spanne type boundedness of the commutator operator [b, Iα] on generalized weighted Morrey spaces. As applications of the properties of the fundamental solution of sub-Laplacian (Formula presented) on (Formula presented), we prove two Sobolev-Stein embedding theorems on generalized weighted Morrey spaces in the Carnot group setting. |
| Anahtar Kelimeler |
| BMO | Carnot group | commutator | fractional integral operator | generalized weighted Morrey space |