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MULTI-SUBLINEAR MAXIMAL OPERATOR AND MULTILINEAR SINGULAR INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES  
Yazarlar
Prof. Dr. Vagıf GULIYEV 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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 2

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