Multiple weighted estimates for maximal vector-valued commutator of multilinear Calderon-Zygmund singular integrals

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 maxi...

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Bibliographic Details
Published in:Frontiers of mathematics in China 2017-06, Vol.12 (3), p.531-558
Main Authors: CHEN, Dongxiang, LU, Shanzhen, MAO, Suzhen
Format: Article
Language:English
Subjects:
Commutators
Estimates
Functions (mathematics)
Inequalities
Inequality
Integrals
Mathematical analysis
Mathematics
Mathematics and Statistics
maximal functions
Multilinear singular integrals
multiple weight
Operators
Operators (mathematics)
Research Article
Studies
vector-valued commutator
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Summary: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.
ISSN:1673-3452
1673-3576
DOI:10.1007/s11464-017-0634-3