Higher Order 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
Changshu Institute Of Technology, Çin
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Azerbaijan Journal of Mathematics | ||
| Dergi ISSN | 2218-6816 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2014 |
| Cilt / Sayı / Sayfa | 4 / 2 / 64–85 | DOI | – |
| Özet |
| In this paper, we will obtain the strong type and weak type estimates for vector-valued analogues of intrinsic square functions in the generalized weighted Morrey spaces M-w(p,phi) (R-n). We study the boundedness of intrinsic square functions including the Lusin area integral, Littlewood-Paley g-function and g(lambda)(*)-function and their higher order 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 in terms of Zygmund-type integral inequalities on phi(x, r) without assuming any monotonicity property of phi(x, r) in r. |
| Anahtar Kelimeler |
| BMO | Commutators | Intrinsic square functions | Vector-valued generalized weighted morrey spaces | Vector-valued inequalities |
