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| Weighted Lp Estimates for Maximal Commutators of Multilinear Singular Integrals |
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Citation： |
Dongxiang CHEN,Jiecheng CHEN,Suzhen MAO.Weighted Lp Estimates for Maximal Commutators of Multilinear Singular Integrals[J].Chinese Annals of Mathematics B,2013,34(6):885~902 |
| Page view： 1793
Net amount： 1319 |
Authors： |
Dongxiang CHEN; Jiecheng CHEN; Suzhen MAO; |
Foundation： |
National Natural Science Foundation of China (Nos. 10961015, 11261023), theJiangxi Natural Science Foundation of China (No. 20122BAB201011) and the Fund of Jiangxi ProvincialDepartment of Education (Nos. GJJ10397, GJJ12203). |
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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
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Σb and T
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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 |
Classification： |
42B25, 42B30, 46B70, 47G30 |
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