| Yazarlar |
Amil Hasanov
|
Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye |
| Özet |
| In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels T-Omega,alpha(A1,A2,...,Ak), which is a generalization of the higher- order commutator of the rough fractional integral 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),(q) which ensures the boundedness of the operators T-Omega,alpha(A1,A2,...,Ak) from M-p,M-phi(w). In all cases the conditions for the boundedness of the operator T-Omega,alpha(A1,A2,...,Ak) are given in terms of Zygmund-type integral inequalities on.' 1; ' 2/ and w, which do not assume any assumption on monotonicity of phi 1(x,r), phi 2(x,r) in r. |
| Anahtar Kelimeler |
| Fractional multilinear integral, Rough kernel, BMO, Generalized weighted Morrey space |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Open Mathematics |
| Dergi ISSN | 2391-5455 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2016 |
| Cilt No | 14 |
| Sayı | 1 |
| Sayfalar | 1023 / 1038 |
| Doi Numarası | 10.1515/math-2016-0090 |
| Makale Linki | http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0090/math-2016-0090.xml |
| Atıf Sayıları |
