The sharp constant for truncated Hardy-Littlewood maximal inequality

2021/10/26 by Jia Wu, Shao Liu, Wu, Jia +5
Mathematics · #42B25 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2110.13493

openalex publication_date 2021/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper focuses on the operator norm of the truncated Hardy-Littlewood maximal operator M^b_a and the strong truncated Hardy-Littlewood maximal operator M^\boldsymbolb_\boldsymbola, respectively. We first present the L¹-norm of M^b_a, and then the L¹-norm of M^\boldsymbolb_\boldsymbola is given. Our study may have some enlightening significance for the research on sharp constant for the classical Hardy-Littlewood maximal inequality.

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