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arXiv · 1908.08425

Lower bounds for the centered Hardy-Littlewood maximal operator on the real line

F. J. Pérez Lázaro
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Abstract

Let $1 0$ such that for each $f\in L^p(\mathbb{R})$, the centered Hardy-Littlewood maximal operator $M$ on $\mathbb{R}$ satisfies the lower bound $\|Mf\|_{L^p(\mathbb{R})}\ge (1+\varepsilon_p)\|f\|_{L^p(\mathbb{R})}$.

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BibTeXRIS

F. J. Pérez Lázaro. 2019-08-22. Lower bounds for the centered Hardy-Littlewood maximal operator on the real line. https://doi.org/10.1016/j.jmaa.2020.123928

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