Abstract
We obtain bounds in full range of exponents for the Hardy-Littlewood maximal function on spaces defined via Choquet integrals associated to Bessel or Riesz capacities. We then deduce Sobolev type embeddings in these spaces as a consequence.
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N.C. Phuc is supported in part by Simons Foundation, award number 426071.
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Communicated by Loukas Grafakos.
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Ooi, K.H., Phuc, N.C. The Hardy-Littlewood maximal function, Choquet integrals, and embeddings of Sobolev type. Math. Ann. 382, 1865–1879 (2022). https://doi.org/10.1007/s00208-021-02227-1
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DOI: https://doi.org/10.1007/s00208-021-02227-1