Squares and their centers

DOI10.1007/S11854-018-0021-3zbMath1400.28016arXiv1408.1029OpenAlexW3099899744MaRDI QIDQ1790632

Dániel T. Nagy, Pablo Shmerkin, Tamás Keleti

Publication date: 2 October 2018

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1029

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (12)

Distance sets, orthogonal projections and passing to weak tangents ⋮ Weighted estimates for maximal functions associated to skeletons ⋮ CUBE PACKINGS IN EUCLIDEAN SPACES ⋮ Maximal operators for cube skeletons ⋮ Measures, annuli and dimensions ⋮ Small unions of affine subspaces and skeletons via Baire category ⋮ Small Union with Large Set of Centers ⋮ Cubes and their centers ⋮ Maximal operators and decoupling for Λ(p) Cantor measures ⋮ Small sets containing any pattern ⋮ Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets ⋮ Off-diagonal estimates for cube skeleton maximal operators

Cites Work

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• Maximal operators and differentiation theorems for sparse sets
• Averages in the plane over convex curves and maximal operators
• Local smoothing type estimates on \(L^p\) for large \(p\)
• Cubes and their centers
• On the intersections of transforms of linear sets
• Packing Circles in the Plane
• A Kakeya-type problem for circles

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