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
Prof. Dr. Ismail Ekincioglu Dumlupinar Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Inequalities (Q2) | ||
| Dergi ISSN | 1846-579X Dergi Bilgileri (2021) | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2021 |
| Cilt / Sayı / Sayfa | 15 / 1 / 151–171 | DOI | – |
| Makale Linki | https://files.ele-math.com/articles/jmi-15-14.pdf | ||
| UAK Araştırma Alanları |
Fen Bilimleri ve Matematik
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| 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 G on generalized weighted Morrey spaces Mp, ϕ (G, w), respectively, where Q is the homogeneous dimension of G. 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 L on G, 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 |