On a capacitary strong type inequality and related capacitary estimates

Published 19 Sep 2020 in math.CA and math.AP | (2009.09291v2)

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.

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