Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals
Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals
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DOI：
10.1007/s11464-017-0634-3
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发表时间：
2017-04
影响因子：
--
通讯作者：
Dongxiang Chen;Shan-zhen Lu;Suzhen Mao
中科院分区：
文献类型：
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作者：
Dongxiang Chen;Shan-zhen Lu;Suzhen Mao
本文关注最大向量值多线性奇异算子和最大交换器的多重加权范数不等式。得到最大向量值多线性奇异积分算子的Cotlar型不等式。另一方面，还建立了两种最大向量值多线性奇异积分和最大向量值换向器的锐极大函数的逐点估计。通过一类新变体极大算子的加权估计、Cotlar不等式和锐极大函数估计，得到了多线性算子最大向量值奇异积分和多线性奇异积分最大向量值交换子的多重加权强估计和弱估计。
This paper concerns with multiple weighted norm inequalities for maximal vector-valued multilinear singular operator and maximal commutators. The Cotlar-type inequality of maximal vector-valued multilinear singular integrals operator is obtained. On the other hand, pointwise estimates for sharp maximal function of two kinds of maximal vector-valued multilinear singular integrals and maximal vector-valued commutators are also established. By the weighted estimates of a class of new variant maximal operator, Cotlar's inequality and the sharp maximal function estimates, multiple weighted strong estimates and weak estimates for maximal vector-valued singular integrals of multilinear operators and those for maximal vector-valued commutator of multilinear singular integrals are obtained.