On dimension-free variational inequalities for averaging operators in \mathbb R^d

2017/08/15 by Jean Bourgain, Mariusz Mirek, Bourgain, Jean +5
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1708.04639

openalex publication_date 2017/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study dimension-free L^p inequalities for r-variations of the Hardy--Littlewood averaging operators defined over symmetric convex bodies in \mathbb R^d.

Citations

• Dimension free bounds for the Hardy--Littlewood maximal operator\n associated to convex sets

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