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CalderÓn-zygmund operators with kernels of dini's type and their multilinear commutators on generalized variable exponent morrey spaces  
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Afag F. Ismayilova
Azerbaijan Cooperation University, Azerbaijan
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 T⃗b be the multilinear commutators of T with BMOm functions. In this paper, we study the boundedness of the operators T and T⃗b on generalized variable exponent Morrey spaces Mp(·),φ . We find the sufficient conditions on the pair (φ1, φ2 ) with⃗b ∈ BMOm (ℝn ) which ensures the boundedness of the operators T and T⃗b from Mp(·),φ1 to Mp(·),φ2 .
Anahtar Kelimeler
BMO | Calderón-Zygmund operator | Commutator | Generalized variable exponent Morrey spaces
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Proceedings of the Institute of Mathematics and Mechanics
Dergi ISSN 2409-4986
Makale Dili İngilizce
Basım Tarihi 01-2021
Cilt No 47
Sayı 2
Sayfalar 286 / 300
Doi Numarası 10.30546/2409-4994.47.2.286