论文标题

Lipschitz函数通过可变lebesgue空间中多线性单数积分运算符的换向器来表征

Characterization of Lipschitz Functions via Commutators of Multilinear Singular Integral Operators in Variable Lebesgue Spaces

论文作者

Wu, Jianglong, Zhang, Pu

论文摘要

在本文中,主要目的是考虑在可变指数lebesgue空间的上下文中使用Lipschitz功能的多线calderón-Zygmund运算符的通勤者的界限。此外,还讨论了Lipschitz空间的可变版本,并借助于一个关键工具,涉及多线性分数换向器和某些相关的最大运算符的敏锐最大运算符。

In this paper, the main aim is to consider the boundedness of commutators of multilinear Calderón-Zygmund operators with Lipschitz functions in the context of the variable exponent Lebesgue spaces. Furthermore, the variable versions of the Lipschitz spaces are also discussed, and with the help of a key tool of a pointwise estimate involving the sharp maximal operator of the multilinear fractional commutator and certain associated maximal operators.

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