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Paper detail

On a capacitary strong type inequality and related capacitary estimates

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.

preprint2021arXivOpen access
Keng Hao OoiNguyen Cong Phuc
math.APmath.CA
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Keng Hao OoiNguyen Cong Phuc

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