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Rough fractional multilinear integral operators on generalized weighted Morrey spaces       
Yazarlar
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
fractional multilinear integral, rough kernel, BMO, generalized weighted Morrey space
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Azerbaijan Journal of Mathematics
Dergi ISSN 2221-9501
Dergi Tarandığı Indeksler ESCI: Emerging Sources Citation Index
Makale Dili İngilizce
Basım Tarihi 07-2016
Cilt No 6
Sayı 2
Sayfalar 128 / 147
Makale Linki http://azjm.org/index.php/azjm/article/view/507
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 4
SCOPUS 7
Google Scholar 9

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