Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Fatai A. Isayev
Azerbaijan National Academy of Sciences, Azerbaijan |
Ayhan Serbetci
Ankara Üniversitesi, Turkey |
Özet |
Let T be a multilinear Calderón-Zygmund operator of type ω with ω(t) being nondecreasing and satisfying a kind of Dini's type condition and TΠb be the iterated commutators of the operator T with BMOm functions. In this paper, we study the boundedness of the operators T and TΠb on generalized local Morrey spaces Mp,ϕ{x0} (Rn) and generalized Morrey spaces Mp,ϕ(Rn). We find the sufficient conditions on the pair (ϕ1, ϕ2) with b ∈ BMOm which ensures the boundedness of the operators T and TΠb from Mp{x0}1,ϕ11 (Rn) × · · · × Mp{x0}m,ϕ1m (Rn) to Mp,ϕ{x0}2 (Rn). |
Anahtar Kelimeler |
BMO | commutator | generalized local Morrey spaces | Multilinear Calderón-Zygmund operator |
Makale Türü | Özgün Makale |
Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
Dergi Adı | Transactions Issue Mathematics, Azerbaijan National Academy of Sciences |
Dergi ISSN | 2306-2193 |
Makale Dili | İngilizce |
Basım Tarihi | 01-2022 |
Cilt No | 42 |
Sayı | 4 |
Sayfalar | 46 / 64 |