arxiv: 1706.06242 · v2 · pith:CGIGE5PPnew · submitted 2017-06-20 · 🧮 math.FA

Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator

Dinghuai Wang , Jiang Zhou , Zhidong Teng This is my paper

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keywords operatorcommutatorhardy-littlewoodmaximalbilinearactingboundednesscase

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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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Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator

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