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Multilinear commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
M. N. Omarova
Özet
In this paper, we will obtain the strong type and weak type estimates for vector-valued analogs of intrinsic square functions in the generalized weighted Morrey spaces M-w(p,phi) (l(2)). We study the boundedness of intrinsic square functions including the Lusin area integral, the Littlewood-Paley g-function and g(lambda)* -function, and their multilinear commutators on vector-valued generalized weighted Morrey spaces M-w(p,phi) (l(2)). In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on phi(x, r) without assuming any monotonicity property of phi(x, r) on r.
Anahtar Kelimeler
A weights p | BMO | Intrinsic square functions | Multilinear commutators | Vector-valued generalized weighted Morrey spaces | Vector-valued inequalities
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı JOURNAL OF INEQUALITIES AND APPLICATIONS
Dergi ISSN 1029-242X
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 07-2014
Cilt No 2014
Sayı 1
Doi Numarası 10.1186/1029-242X-2014-258