Multilinear Commutators of Calderon-Zygmund Operator on Generalized Weighted Morrey Spaces
   
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Farida Ch. Alizadeh
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Function Spaces (Q1)
Dergi ISSN 2314-8896 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2014
Cilt / Sayı / Sayfa 2014 / 1 / – DOI 10.1155/2014/710542
Makale Linki https://downloads.hindawi.com/journals/jfs/2014/710542.pdf
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.
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