The Hardy-Littlewood maximal function, Choquet integrals, and embeddings of Sobolev type (Q2122082)

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The Hardy-Littlewood maximal function, Choquet integrals, and embeddings of Sobolev type
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    The Hardy-Littlewood maximal function, Choquet integrals, and embeddings of Sobolev type (English)
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    5 April 2022
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    This article discusses bounds in full range of exponents for the Hardy-Littlewood maximal function on spaces defined via Choquet integrals associated to Bessel or Riesz capacities. As a consequence, the authors obtain Sobolev-type embeddings in these spaces.
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    nonlinear potential theory
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    capacity
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    maximal function
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    Choquet integral
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    Sobolev embedding
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