Document Type
Article
Publication Date
1-1-2022
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.
Publication Source (Journal or Book title)
Revista Matematica Iberoamericana
First Page
589
Last Page
599
Recommended Citation
Ooi, K., & Phuc, N. (2022). On a capacitary strong type inequality and related capacitary estimates. Revista Matematica Iberoamericana, 38 (2), 589-599. https://doi.org/10.4171/RMI/1285
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