Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals |
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Authors: | Dongxiang Chen Shanzhen Lu Suzhen Mao |
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Institution: | 1.Department of Mathematics,Jiangxi Normal University,Nanchang,China;2.School of Mathematical Science,Beijing Normal University,Beijing,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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