Weighted Estimates for Multilinear Commutators of Marcinkiewicz Integrals with Bounded Kernel

• Date: 2014
• Main Authors: Liu, Qingguo, Wu, Jianglong, Лю, Кінгуо, Ву, Янглонг
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2156
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let \( {\mu}_{\varOmega, \overrightarrow{b}} \) be a multilinear commutator generalized by the n-dimensional Marcinkiewicz integral with bounded kernel μ Ώ and let \( {b}_j\ \in Os{c_{\exp}}_{L^{r_j}} \) , 1 ≤ j ≤ m. We prove the following weighted inequalities for ω ∈ A ∞ and 0 < p &...