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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Acknowledgements
This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 10961015, 11261023, 10871024, 10931001, 11561057) and the Key Laboratory of Mathematics and Complex System, Ministry of Education, China.
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Chen, D., Lu, S. & Mao, S. Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals. Front. Math. China 12, 531–558 (2017). https://doi.org/10.1007/s11464-017-0634-3
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DOI: https://doi.org/10.1007/s11464-017-0634-3