On the maximal operator associated to a convex body in \(\mathbb{R}^ n\)

zbMath0792.42007MaRDI QIDQ1318626

M. Trinidad Menárguez, Fernando Soria

Publication date: 6 April 1994

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39496

zbMATH Keywords

convex bodiesweak type estimates\(n\log n\) operatorsmaximal operators of Hardy-Littlewood type

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Weak-type lower bounds for high-dimensional Hardy-Littlewood maximal operators on certain measures via averaging operators ⋮ On high dimensional maximal operators ⋮ Localization and dimension free estimates for maximal functions ⋮ Bounds for maximal functions associated with rotational invariant measures in high dimensions ⋮ The Stein-Strömberg covering theorem in metric spaces ⋮ Random martingales and localization of maximal inequalities

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