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

Autor: Ooi, Keng Hao, Phuc, Nguyen Cong
Zdroj: Mathematische Annalen; Apr2022, Vol. 382 Issue 3/4, p1865-1879, 15p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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