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Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces       
Yazarlar
Amil Hasanov
Prof. Dr. Ali AKBULUT Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye
Özet
In this paper, we study the boundedness of fractional multilinear integral operators with rough kernels T-Omega,alpha(A1,A2,...,Ak), which is a generalization of the higher- order commutator of the rough fractional integral 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),(q) which ensures the boundedness of the operators T-Omega,alpha(A1,A2,...,Ak) from M-p,M-phi(w). In all cases the conditions for the boundedness of the operator T-Omega,alpha(A1,A2,...,Ak) are given in terms of Zygmund-type integral inequalities on.' 1; ' 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 SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı OPEN MATHEMATICS
Dergi ISSN 2391-5455
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 12-2016
Cilt No 14
Sayı 1
Sayfalar 1023 / 1038
Doi Numarası 10.1515/math-2016-0090
Makale Linki http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0090/math-2016-0090.xml
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Fractional multilinear integrals with rough kernels on generalized weighted Morrey spaces

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