A note on the one-dimensional maximal function

Author:

Bernal Antonio

Abstract

SynopsisIn this note, we consider the Hardy-Littlewood maximal function on R for arbitrary measures, as was done by Peter Sjögren in a previous paper. We determine the best constant for the weak type inequality.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 18 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Rearrangement Inequalities of the One-Dimensional Maximal Functions Associated with General Measures;The Journal of Geometric Analysis;2023-08-18

2. Rearrangement inequality for the Hardy–Littlewood maximal operator;Banach Journal of Mathematical Analysis;2022-06-02

3. The Norm of the Fourier Transform on Compact or Discrete Abelian Groups;Journal of Fourier Analysis and Applications;2020-05-07

4. Sharp bounds for fractional one-sided operators;Acta Mathematica Sinica, English Series;2016-10-15

5. Sharp weighted bounds for one-sided maximal operators;Collectanea Mathematica;2015-01-20

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