Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator

2017/06/20 by Dinghuai Wang, Jiang Zhou, Wang, Dinghuai +3
Mathematics · #42B25 (Primary) #47B07 (Secondary) #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1706.06242

openalex publication_date 2017/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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