On high dimensional maximal operators

  1. Aldaz, J.M. 1
  2. Lázaro, J.P. 2
  1. 1 Universidad Autónoma de Madrid
    info

    Universidad Autónoma de Madrid

    Madrid, España

    ROR https://ror.org/01cby8j38

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
Banach Journal of Mathematical Analysis

ISSN: 1735-8787

Year of publication: 2013

Volume: 7

Issue: 2

Pages: 225-243

Type: Article

DOI: 10.15352/BJMA/1363784233 SCOPUS: 2-s2.0-84875101508 WoS: WOS:000316048400015 arXiv: 1302.2252v1 GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Banach Journal of Mathematical Analysis

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Abstract

In this note we describe some recent advances in the area of maximal function inequalities. We also study the behaviour of the centered Hardy-Littlewood maximal operator associated to certain families of doubling, radial decreasing measures, and acting on radial functions. In fact, we precisely determine when the weak type (1, 1) bounds are uniform in the dimension.