%0 Journal Article
%T 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<br>Boundedness of Generalized Commutators with Dini Type Multilinear Maximal Calder′on-Zygmund Operators andLipschitz Functions
%A 卢景瑶
%J Pure Mathematics
%P 394-408
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.154141
%X 设T是核满足Dini条件的多线性奇异积分算子，T<sub>？</sub>是T的极大算子。T<sup>？</sup><sub style=\" margin-left:-5px;\">b,S</sub>是T<sub>？</sub>与一类可测函数{b<sub>i</sub>}<sup>∞</sup><sub style=\" margin-left:-5px;\">i=1</sub>生成的广义交换子。本文讨论了当{b<sub>i</sub>}<sup>∞</sup><sub style=\" margin-left:-5px;\">i=1</sub>属于Lipschitz空间，T<sup>？</sup><sub style=\" margin-left:-5px;\">b,S</sub>在Lebesgue 空间的有界性。<br>Let T be an m-linear Calder′on-Zygmund operator with kernel satisfying Dini-type condition, T<sub>？</sub>be the maximal operator of T. T<sup>？</sup><sub style=\" margin-left:-5px;\">b,S</sub>is the generalized commutator of T<sub>？</sub> with a class of measurable functions {b<sub>i</sub>}<sup>∞</sup><sub style=\" margin-left:-5px;\">i=1</sub>.In this paper, we discuss the boundedness of T<sup>？</sup><sub style=\" margin-left:-5px;\">b,S</sub> on Lebesgue spaces when {b<sub>i</sub>}<sup>∞</sup><sub style=\" margin-left:-5px;\">i=1</sub> belongs to Lipschitz spaces.
%K 奇异积分算子，广义交换子，Lipschitz函数，多线性算子<br>Singular Integral Operator
%K Generalized Commutator
%K Lipschitz Function
%K Multilinear Operator
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=113113