Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Özet |
Let T be a Calderón-Zygmund operator of type ω with ω(t) being nondecreasing and satisfying a kind of Dini's type condition and let Tb→ be the multilinear commutators of T with BMOm functions. In this paper, we study the boundedness of the operators T and Tb→ on generalized weighted variable exponent Morrey spaces Mp(·),φ(w) with the weight function w belonging to variable Muckenhoupt's class Ap(·)(Rn). We find the sufficient conditions on the pair (φ1, φ2) with b→ ∈ BMOm(Rn) which ensures the boundedness of the operators T and Tb→ from Mp(·),φ1(w) to Mp(·),φ2(w). |
Anahtar Kelimeler |
BMO | Calderón-Zygmund operator | Commutator | Generalized weighted variable exponent Morrey spaces |
Makale Türü | Özgün Makale |
Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
Dergi Adı | Positivity |
Dergi ISSN | 1385-1292 |
Makale Dili | İngilizce |
Basım Tarihi | 11-2021 |
Cilt No | 25 |
Sayı | 5 |
Sayfalar | 1771 / 1788 |
Doi Numarası | 10.1007/s11117-021-00846-1 |