COMMUTATORS OF RIESZ POTENTIAL IN THE VANISHING GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Dumlupinar Üniversitesi, Türkiye
Azerbaijan State Oil And Industry University, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Mathematical Inequalities and Applications (Q1) | ||
| Dergi ISSN | 1331-4343 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2019 |
| Cilt / Sayı / Sayfa | 22 / 1 / 331–351 | DOI | 10.7153/mia-2019-22-25 |
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 9 |
| SCOPUS | 12 |
| Google Scholar | 16 |