img
Calderón-Zygmund operators with kernels of Dini's type on generalized weighted variable exponent Morrey spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV 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