Boxes, extended boxes and sets of positive upper density in the Euclidean space

DOI10.1017/S0305004120000316zbMath1476.05195arXiv1809.08692WikidataQ114116794 ScholiaQ114116794MaRDI QIDQ5157850

Polona Durcik, Vjekoslav Kovač

Publication date: 20 October 2021

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

Full work available at URL: https://arxiv.org/abs/1809.08692

zbMATH Keywords

Banach densityEuclidean density theorems

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Length, area, volume, other geometric measure theory (28A75) Density, gaps, topology (11B05) Ramsey theory (05D10) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (7)

A Szemerédi-type theorem for subsets of the unit cube ⋮ Density theorems for anisotropic point configurations ⋮ Weak hypergraph regularity and applications to geometric Ramsey theory ⋮ The density of sets containing large similar copies of finite sets ⋮ Singular Brascamp–Lieb inequalities with cubical structure ⋮ Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023 ⋮ T(1) theorem for dyadic singular integral forms associated with hypergraphs

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