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arXiv · 1706.06242

Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator

Dinghuai Wang·Jiang Zhou·Zhidong Teng
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Abstract

We study the mapping property of the commutator of bilinear Hardy-Littlewood maximal operator in homogeneous Triebel-Lizorkin space. We also show that the commutator of bilinear Hardy-Littlewood maximal operator is a compact operator acting on product of Lebesgue spaces. The results are new even in the linear case.

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Dinghuai Wang, Jiang Zhou, Zhidong Teng. 2017-06-20. Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator. https://arxiv.org/abs/1706.06242

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