Rough fractional multilinear integral operators on generalized weighted Morrey spaces
Yazarlar (3)
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Azerbaijan Journal of Mathematics | ||
| Dergi ISSN | 2218-6816 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI: Emerging Sources Citation Index | ||
| 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 | ||
| Özet |
| In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels T-Omega,alpha(A,m) on the generalized weighted Morrey spaces M-p,M-phi(w). We find the sufficient conditions on the pair (phi(1), phi(2)) with w is an element of A(p)(R-n) which ensures the boundedness of the operators T-Omega,alpha(A,m) from M-p,M-phi 1 (w) to M-p,M-phi 2 (w) for 1 < p < infinity. In all cases the conditions for the boundedness of the operator T-Omega,alpha(A,m) is given in terms of Zygmund-type integral inequalities on (phi(1), phi(2)) and w, which do not assume any assumption on monotonicity of phi(1) (x, r), phi(2) (x, r) in r. |
| Anahtar Kelimeler |
| BMO | Fractional multilinear integral | Generalized weighted morrey space | Rough kernel |
