Multilinear Calderon-Zygmund operators with kernels of Dini’s type and their commutators on generalized local Morrey spaces
Yazarlar (3)
| Makale Türü | Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale) | ||
| Dergi Adı | Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.42, is.4, pp.46-64, 2022ics | ||
| Dergi ISSN | 2617-7900 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2022 |
| Cilt / Sayı / Sayfa | 42 / 4 / 44–64 | DOI | – |
| Makale Linki | https://trans.imm.az/volumes/42-4/4204-05.pdf | ||
| 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 M {x0} p, ϕ (R n) and generalized Morrey spaces Mp, ϕ (R n). We find the sufficient conditions on the pair (ϕ1, ϕ2) with b∈ BMOm which ensures the boundedness of the operators T and TΠb from M {x0} p1, ϕ11 (R n)×···× M {x0} pm, ϕ1m (R n) to M {x0} p, ϕ2 (R n). |
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