| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Afag F. Ismayilova
|
| Özet |
| In this paper the authors study the boundedness of multisublinear fractional maximal operator M-alpha,M-m and multilinear fractional integral operators I-alpha,I-m, on product generalized Morrey spaces M-p1,(phi 1) (R-n) x ... x M-pm, (phi m) We find the sufficient conditions on (phi(1), ... ,phi(m),phi) which ensures the boundedness of the operators M-alpha,M-m and I-alpha,I-m from M-p1,(phi 1) (R-n) x ... x M-pm, (phi m) to M-q,M- (psi). In all cases, the conditions for the boundedness of M-alpha,M-m given in terms of supremal type inequalities on (phi(1), ... ,phi(m),psi) and the conditions for the boundedness of I-alpha,I-m, are given in terms of Zygmund-type integral inequalities on (phi(1), ... ,phi(m),psi), which do not assume any assumption on monotonicity of cpi,, cpm, in r. |
| Anahtar Kelimeler |
| Multi-sublinear fractional maximal operator | generalized Morrey space | multilinear fractional integral operator |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS |
| Dergi ISSN | 2409-4986 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2014 |
| Cilt No | 40 |
| Sayı | 2 |
| Sayfalar | 22 / 33 |
