Dini型多线性极大奇异积分算子与Lipschitz函数生成的广义交换子的有界性
Boundedness of Generalized Commutators with Dini Type Multilinear Maximal Calder′on-Zygmund Operators andLipschitz Functions
摘要: 设T是核满足Dini条件的多线性奇异积分算子，T∗是T的极大算子。T∗b,S是T∗与一类可测函数{bi}∞i=1生成的广义交换子。本文讨论了当{bi}∞i=1属于Lipschitz空间，T∗b,S在Lebesgue 空间的有界性。
Abstract: Let T be an m-linear Calder´on-Zygmund operator with kernel satisfying Dini-type condition, T∗be the maximal operator of T. T∗b,Sis the generalized commutator of T∗ with a class of measurable functions {bi}∞i=1.In this paper, we discuss the boundedness of T∗b,S on Lebesgue spaces when {bi}∞i=1 belongs to Lipschitz spaces.
文章引用：卢璟瑶. Dini型多线性极大奇异积分算子与Lipschitz函数生成的广义交换子的有界性[J]. 理论数学, 2025, 15(4): 394-408. https://doi.org/10.12677/pm.2025.154141

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