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Rough fractional multilinear integral operators on generalized weighted Morrey spaces       
Yazarlar
Prof. Dr. Ali AKBULUT Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye
Zaman Safarov
Vugar H Hamzayev
Özet
In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels T-Omega,alpha(A,m) on the generalized weighted Morrey spaces M-p,M-phi(w). We find the sufficient conditions on the pair (phi(1), phi(2)) with w is an element of A(p)(R-n) which ensures the boundedness of the operators T-Omega,alpha(A,m) from M-p,M-phi 1 (w) to M-p,M-phi 2 (w) for 1 < p < infinity. In all cases the conditions for the boundedness of the operator T-Omega,alpha(A,m) is given in terms of Zygmund-type integral inequalities on (phi(1), phi(2)) and w, which do not assume any assumption on monotonicity of phi(1) (x, r), phi(2) (x, r) in r.
Anahtar Kelimeler
BMO | Fractional multilinear integral | Generalized weighted morrey space | Rough kernel
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı AZERBAIJAN JOURNAL OF MATHEMATICS
Dergi ISSN 2218-6816
Dergi Tarandığı Indeksler ESCI: Emerging Sources Citation Index
Makale Dili İngilizce
Basım Tarihi 07-2016
Cilt No 6
Sayı 2
Sayfalar 128 / 142
Makale Linki http://azjm.org/index.php/azjm/article/view/507
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 4
SCOPUS 7
Google Scholar 10

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