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arXiv · 2402.15766

Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions

Chunliang Li·Shuhui Yang·Yan Lin
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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.

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Chunliang Li, Shuhui Yang, Yan Lin. 2024-02-24. Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions. https://arxiv.org/abs/2402.15766

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