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Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals |
Dongxiang CHEN1( ), Shanzhen LU2, Suzhen MAO1 |
1. Department of Mathematics, Jiangxi Normal University, Nanchang 330022, China
2. School of Mathematical Science, Beijing Normal University, Beijing 100875, China |
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Abstract 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.
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| Keywords
Multilinear singular integrals
vector-valued commutator
multiple weight
maximal functions
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Corresponding Author(s):
Dongxiang CHEN
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Issue Date: 20 April 2017
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