On a capacitary strong type inequality and related capacitary estimates

  • Keng Hao Ooi

    Louisiana State University, Baton Rouge, USA
  • Nguyen Cong Phuc

    Louisiana State University, Baton Rouge, USA
On a capacitary strong type inequality and related capacitary estimates cover
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Abstract

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.

Cite this article

Keng Hao Ooi, Nguyen Cong Phuc, On a capacitary strong type inequality and related capacitary estimates. Rev. Mat. Iberoam. 38 (2022), no. 2, pp. 589–599

DOI 10.4171/RMI/1285