Simplices and sets of positive upper density in $\mathbb {R}^d$

DOI10.1090/proc/13538zbMath1397.11021arXiv1509.09283OpenAlexW2962789766MaRDI QIDQ2970055

Lauren Huckaba, Ákos Magyar, Neil Lyall

Publication date: 27 March 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09283

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (5)

Multilinear maximal operators associated to simplices ⋮ A Szemerédi-type theorem for subsets of the unit cube ⋮ Density theorems for anisotropic point configurations ⋮ The density of sets containing large similar copies of finite sets ⋮ Distances and trees in dense subsets of \(\mathbb{Z}^d\)

Cites Work

• Averages in the plane over convex curves and maximal operators
• A Szemerédi type theorem for sets of positive density in \(\mathbb R^k\)
• Classical Fourier Analysis
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