Frontiers of Mathematics in China >
Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals
Received date: 23 Sep 2012
Accepted date: 12 Dec 2016
Published date: 20 Apr 2017
Copyright
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.
Dongxiang CHEN , Shanzhen LU , Suzhen MAO . Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderón-Zygmund singular integrals[J]. Frontiers of Mathematics in China, 2017 , 12(3) : 531 -558 . DOI: 10.1007/s11464-017-0634-3
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