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Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions (2402.15766v1)
Published 24 Feb 2024 in math.FA
Abstract: Via the new weight $A_{\vec p}{\infty}(\varphi)$ and the new $BMO$ function, the authors introduce a new class of multilinear square operators $T$ with generalized kernels. The boundedness of multilinear commutators and multilinear iterative commutators generated by $T$ and the new $BMO$ function on weighted Lebesgue spaces and weighted Morrey spaces is obtained, respectively. The results of this article contain some known conclusions.