Resumen de On a capacitary strong type inequality and related capacitary estimates

Keng Hao Ooi, Nguyen Cong Phuc

• 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.