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Weighted Estimates for Multilinear Commutators of Marcinkiewicz Integrals with Bounded Kernel

Weighted Estimates for Multilinear Commutators of Marcinkiewicz Integrals with Bounded Kernel

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 < ∞: …