Multilinear Calderón-Zygmund operators with kernels of Dini's type and their commutators on generalized local Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Azerbaijan National Academy Of Sciences, Azerbaycan
Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Transactions of National Academy of Sciences of Azerbaijan Series of Physical Technical and Mathematical Sciences | ||
| Dergi ISSN | 3005-8139 Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2022 |
| Cilt / Sayı / Sayfa | 42 / 4 / 46–64 | DOI | – |
| 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 |
