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Pure Mathematics 2025
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
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Abstract:
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。
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.
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