Weighted L p estimates for maximal commutators of multilinear singular integrals

Dongxiang Chen , Jiecheng Chen , Suzhen Mao

Chinese Annals of Mathematics, Series B ›› 2013, Vol. 34 ›› Issue (6) : 885 -902.

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Chinese Annals of Mathematics, Series B ›› 2013, Vol. 34 ›› Issue (6) : 885 -902. DOI: 10.1007/s11401-013-0803-y
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Weighted L p estimates for maximal commutators of multilinear singular integrals

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Abstract

This paper is concerned with the pointwise estimates for the sharp function of two kinds of maximal commutators of multilinear singular integral operators T Σb * and T Πb *, which are generalized by a weighted BMO function b and a multilinear singular integral operator T, respectively. As applications, some commutator theorems are established.

Keywords

Weighted BMO space / Maximal commutator / Multilinear singular integral / Sharp maximal function

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Dongxiang Chen, Jiecheng Chen, Suzhen Mao. Weighted L p estimates for maximal commutators of multilinear singular integrals. Chinese Annals of Mathematics, Series B, 2013, 34(6): 885-902 DOI:10.1007/s11401-013-0803-y

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