Via the new weight Aₚ∞(φ) 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.
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Li et al. (2024) studied this question.
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