CalderÓn-zygmund operators with kernels of dini's type and their multilinear commutators on generalized variable exponent morrey spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
Azerbaijan Cooperation University, Azerbaycan
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Proceedings of the Institute of Mathematics and Mechanics | ||
| Dergi ISSN | 2409-4986 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2021 |
| Cilt / Sayı / Sayfa | 47 / 2 / 286–300 | DOI | 10.30546/2409-4994.47.2.286 |
| Makale Linki | https://doi.org/10.30546/2409-4994.47.2.286 | ||
| 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 |