2019•Chinese Annals of Mathematics,series ARequires access

Sharp Maximal and Weighted Estimates for Multilinear Iterated Commutators of Multilinear Strongly Singular Calderón-Zygmund Operators

Yan Lin, Yanyan Han

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Abstract

本文主要建立了由多线性强奇异Calderon-Zygmund算子和BMO函数生成的多线性迭代交换子的Sharp极大估计.作为应用,也分别得到了该类多线性迭代交换子在乘积加权Lebesgue空间和乘积变指数Lebesgue空间上的有界性.

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Key concepts: Multilinear map, Iterated function, Mathematics, Pure mathematics, Singular integral operators, Singular integral, Mathematical analysis, Integral equation