Yazarlar |
Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Javanshir J. Hasanov
|
Xayyam A. Badalov
|
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 | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | MATHEMATICAL INEQUALITIES & APPLICATIONS |
Dergi ISSN | 1331-4343 |
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 |