Rough fractional multilinear integral operators on generalized weighted Morrey spaces
Yazarlar (3)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Zaman Safarov Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Vugar H Hamzayev Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Azerbaijan Journal of Mathematics | ||
| Dergi ISSN | 2218-6816 Dergi Bilgileri (2016) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2016 |
| Cilt / Sayı / Sayfa | 6 / 2 / 128–142 | DOI | – |
| Makale Linki | http://azjm.org/index.php/azjm/article/view/507 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels TΩ, αA, m on the generalized weighted Morrey spaces Mp, φ(w). We find the sufficient conditions on the pair (φ1, φ2) with w ε Ap(Rn) which ensures the boundedness of the operators TΩ, αA, m from Mp, φ1(w) to Mp, φ2(w) for 1 < p <∞. In all cases the conditions for the boundedness of the operator TΩ, αA, m is given in terms of Zygmund-type integral inequalities on (φ1, φ2) and w, which do not assume any assumption on monotonicity of φ1(x, r), φ2(x, r) in r. |
| Anahtar Kelimeler |
| BMO | Fractional multilinear integral | Generalized weighted morrey space | Rough kernel |
