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Multilinear Calderón-Zygmund operators with kernels of Dini's type and their commutators on generalized local Morrey spaces  
Yazarlar
Prof. Dr. Vagıf GULIYEV 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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 2

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