Yazarlar |
Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye |
Zaman Safarov
|
Vugar H Hamzayev
|
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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
Dergi Adı | AZERBAIJAN JOURNAL OF MATHEMATICS |
Dergi ISSN | 2218-6816 |
Dergi Tarandığı Indeksler | ESCI: Emerging Sources Citation Index |
Makale Dili | İngilizce |
Basım Tarihi | 07-2016 |
Cilt No | 6 |
Sayı | 2 |
Sayfalar | 128 / 142 |
Makale Linki | http://azjm.org/index.php/azjm/article/view/507 |