Multilinear commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
  
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
M. N. Omarova
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 Inequalities and Applications (Q1)
Dergi ISSN 1025-5834
Makale Dili İngilizce Basım Tarihi 07-2014
Cilt / Sayı / Sayfa 2014 / 1 / – DOI 10.1186/1029-242X-2014-258
Makale Linki https://journalofinequalitiesandapplications.springeropen.com/counter/pdf/10.1186/1029-242X-2014-258
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