Dimension-Free $L^p$-Maximal Inequalities for Spherical Means in the Hypercube

DOI10.1137/140961663zbMath1402.42027arXiv1309.4466OpenAlexW2963470683MaRDI QIDQ4555044

Ben Krause

Publication date: 19 November 2018

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4466

zbMATH Keywords

maximal functionsphericaldimension independent

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Means on groups, semigroups, etc.; amenable groups (43A07) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

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• The Mehler Maximal Function: a Geometric Proof of the Weak Type 1
• Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces
• ON THE MAXIMAL ERGODIC THEOREM
• Nonnegative quadratic forms and bounds on orthogonal polynomials

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