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Multilinear Commutators of Calderon-Zygmund Operator on Generalized Weighted Morrey Spaces    
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Farida Ch. Alizadeh
Özet
The boundedness of multilinear commutators of Calderon-Zygmund operator T-(b) over right arrow on generalized weighted Morrey spaces M-p,M-phi(w) with the weight function w belonging to Muckenhoupt's class A(p) is studied. When 1 < p < infinity and (b) over right arrow - (b(1),...,b(m)), b(i) epsilon BMO i = 1,..., m, the sufficient conditions on the pair (phi(1), phi(2)) which ensure the boundedness of the operator T-(b) over right arrow from M-p,M-phi 1 (w) to M-p,M-phi 2 (w) are found. In all cases the conditions for the boundedness of T-(b) over right arrow are given in terms of Zygmund-type integral inequalities on (phi(1),phi(2)), which do not assume any assumption on monotonicity of phi(1) (x,r), phi(2) (x,r) in r.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF FUNCTION SPACES
Dergi ISSN 2314-8896
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2014
Cilt No 2014
Sayı 1
Doi Numarası 10.1155/2014/710542