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math.MG2019★ 3 cited
Cheeger's differentiation theorem via the multilinear Kakeya inequality
David Bate, Ilmari Kangasniemi, Tuomas Orponen
Suppose that is a metric measure space of finite Hausdorff dimension and that, for every Lipschitz , is dominated…
math.CA2019★ 2 cited
Quantitative absolute continuity of planar measures with two independent Alberti representations
David Bate, Tuomas Orponen
We study measures on the plane with two independent Alberti representations. It is known, due to Alberti, Csörnyei, and Preiss, that such measures are absolutely continuous wit…