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arXiv · 2009.09291

On a capacitary strong type inequality and related capacitary estimates

Keng Hao Ooi·Nguyen Cong Phuc
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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.

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Keng Hao Ooi, Nguyen Cong Phuc. 2020-09-19. On a capacitary strong type inequality and related capacitary estimates. https://arxiv.org/abs/2009.09291

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