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
Afag F. Ismayilova
Azerbaijan National Academy of Sciences (ANAS), Azerbaycan
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 | – |
| Makale Linki | https://proc.imm.az/volumes/40-2/40-02-04.pdf | ||
| Özet |
| In this paper the authors study the boundedness of multisublinear fractional maximal operator Mα, m and multilinear fractional integral operators Iα, m on product generalized Morrey spaces Mp1, ϕ1 (Rn)×...× Mpm, ϕm. We find the sufficient conditions on (ϕ1,..., ϕm, ϕ) which ensures the boundedness of the operators Mα, m and Iα, m from Mp1, ϕ1 (Rn)×...× Mpm, ϕm to Mq, ψ. In all cases, the conditions for the boundedness of Mα, m are given in terms of supremal type inequalities on (ϕ1,..., ϕm, ψ) and the conditions for the boundedness of Iα, m are given in terms of Zygmund-type integral inequalities on (ϕ1,..., ϕm, ϕ), which do not assume any assumption on monotonicity of ϕ1,..., ϕm, ψ in r. |
| Anahtar Kelimeler |
| Multi-sublinear fractional maximal operator | generalized Morrey space | multilinear fractional integral operator |
