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

Document Type

Article

Publication Date

4-1-2022

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.

Publication Source (Journal or Book title)

Mathematische Annalen

First Page

1865

Last Page

1879

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