On a capacitary strong type inequality and related capacitary estimates

• Keng Hao Ooi ^[1] ; Nguyen Cong Phuc ^[1]
  1. [1] Louisiana State University

     Louisiana State University

     Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 2, 2022, págs. 589-599
• Idioma: inglés
• DOI: 10.4171/RMI/1285
• Texto completo no disponible (Saber más ...)
• Resumen

  • We establish a Maz’ya type capacitary inequality which resolves a special case of a conjecture by David R. Adams. As a consequence, we obtain several equivalent norms for Choquet integrals associated to Bessel or Riesz capacities. This enables us to obtain bounds for the Hardy–Littlewood maximal function in a sublinear setting.