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Calderón-Zygmund operators with kernels of Dini's type on generalized weighted variable exponent Morrey spaces    
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
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 Wos Dergi Scopus Dergi
Makale Dili İngilizce
Basım Tarihi 11-2021
Cilt No 25
Sayı 5
Sayfalar 1771 / 1788
Doi Numarası 10.1007/s11117-021-00846-1