Abstract
In this paper, the behavior for commutators of a class of bilinear singular integral operators associated with non-smooth kernels on the product of weighted Lebesgue spaces is considered. By some new maximal functions to control the commutators of bilinear singular integral operators and CMO(Rn) functions, compactness for the commutators is proved.
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Supported by the Natural Science Foundation of Shandong Province(Nos. ZR2018PA004 and ZR2016AB07), the National Natural Science Foundation of China(Nos. 11571306 and 11671363).
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Bu, R., Chen, Jc. Compactness for the commutators of multilinear singular integral operators with non-smooth kernels. Appl. Math. J. Chin. Univ. 34, 55–75 (2019). https://doi.org/10.1007/s11766-019-3501-z
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DOI: https://doi.org/10.1007/s11766-019-3501-z