Variation of the uncentered maximal characteristic function

• Julian Weigt ^[1]
  1. [1] Aalto University

     Aalto University

     Helsinki, Finlandia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 3, 2022, págs. 823-849
• Idioma: inglés
• DOI: 10.4171/RMI/1312
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let M be the uncentered Hardy–Littlewood maximal operator, or the dyadic maximal operator, and let d≥1. We prove that for a set E⊂Rd of finite perimeter, the bound varM1E≤Cdvar1E holds. We also prove this for the local maximal operator.