Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
Afag F. Ismayilova
|
Özet |
In this paper the authors study the boundedness of multisublinear maximal operator M-m, and multilinear singular integral operators T-m, on product generalized Morrey spaces M-p1,M-phi 1 (R-n) x ... x M-pm,M-phi m. We find the sufficient conditions on (phi(1),...phi(m),phi) which ensures the boundedness of the operators M-m, and T-m, from M-p1,M-phi 1 (R-n) x ... x M-pm,M-phi m M-p,M-phi. to In all cases, the conditions for the boundedness of M-m are given in terms of supremal type inequalities on(phi(1),...phi(m),phi)and the conditions for the boundedness of T, are given in terms of Zygmund-type integral inequalities on (phi(1),...phi(m),phi)which do not assume any assumption on monotonicity of (phi(1),...phi(m),phi)in r. |
Anahtar Kelimeler |
Multi-sublinear operator | generalized Morrey space | multilinear Calderon-Zygmund 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 | 65 / 77 |