MULTI-SUBLINEAR FRACTIONAL MAXIMAL OPERATOR AND MULTILINEAR FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Kirsehir Ahi Evran University, Türkiye
Azerbaijan National Academy of Sciences (ANAS), Azerbaycan
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | ||
| Dergi ISSN | 2409-4986 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 40 / 2 / 22–33 | DOI | – |
| 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 |
