| Yazarlar (3) |
Prof. Dr. Vagıf GULIYEV
Dumlupinar Üniversitesi, Türkiye |
|
Azerbaijan State Oil And Industry University, Azerbaycan |
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Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan |
| Özet |
| Let Omega subset of R-n be an unbounded open set. We consider the generalized weighted Morrey spaces M-omega(p(.),phi)(Omega) and the vanishing generalized weighted Money spaces V M-omega(p(.),phi)(Omega) with variable exponent p(x) and a general function phi(x, r) defining the Money-type norm. The main result of this paper are the boundedness of Riesz potential and its commutators on the spaces M-omega(p(.),phi)(Omega) and V M-omega(p(.),phi)(Omega). This result generalizes several existing results for Riesz potential and its commutators on Money type spaces. Especially, it gives a unified result for generalized Money spaces and variable Morrey spaces which currently gained a lot of attentions from researchers in theory of function spaces. |
| Anahtar Kelimeler |
| Bmo space | Commutator | Riesz potential | Vanishing generalized weighted morrey space with variable exponent |
| Makale Türü |
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| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Mathematical Inequalities and Applications |
| Dergi ISSN | 1331-4343 Wos Dergi Scopus Dergi |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2019 |
| Cilt No | 22 |
| Sayı | 1 |
| Sayfalar | 331 / 351 |
| Doi Numarası | 10.7153/mia-2019-22-25 |