Dimension dependency of the weak type (1, 1) bounds for maximal functions associated to finite radial measures

  1. Aldaz, J.M. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Bulletin of the London Mathematical Society

ISSN: 0024-6093

Datum der Publikation: 2007

Ausgabe: 39

Nummer: 2

Seiten: 203-208

Art: Artikel

DOI: 10.1112/BLMS/BDL027 SCOPUS: 2-s2.0-77955652044 WoS: WOS:000247052300005 arXiv: 0504240v2 GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Bulletin of the London Mathematical Society

Institutionelles Repository: lock_openOpen Access Editor

Projekte im Zusammenhang

Ortogonalidad y aproximación: teoría y aplciaciones físicas y clínicas

2006/00095/001

Zusammenfassung

We show that the smallest constants appearing in the weak type (1, 1) inequalities satisfied by the centred Hardy-Littlewood maximal function associated to some finite radial measures, such as the standard gaussian measure, grow exponentially fast with the dimension.