The best constant for the centered maximal operator on radial decreasing functions

  1. Aldaz, J.M. 1
  2. Pérez Lázaro, J. 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:
Mathematical Inequalities and Applications

ISSN: 1331-4343

Year of publication: 2011

Volume: 14

Issue: 1

Pages: 173-179

Type: Article

DOI: 10.7153/MIA-14-14 SCOPUS: 2-s2.0-79551634752 WoS: WOS:000291112400014 GOOGLE SCHOLAR

More publications in: Mathematical Inequalities and Applications

Abstract

We show that the lowest constant appearing in the weak type (1,1) inequality satisfied by the centered Hardy-Littlewood maximal operator on radial, radially decreasing integrable functions is 1.