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COMMUTATORS OF RIESZ POTENTIAL IN THE VANISHING GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. 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