David Bate

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20112023

most citedStructure of measures in Lipschitz differentiability spaces

65 citations · 169 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.CA2019★ 2 cited

Quantitative absolute continuity of planar measures with two independent Alberti representations

David Bate, Tuomas Orponen

We study measures $μ$ on the plane with two independent Alberti representations. It is known, due to Alberti, Csörnyei, and Preiss, that such measures are absolutely continuous wit…

math.CA2017★ 1 cited

On the conformal dimension of product measures

David Bate, Tuomas Orponen

Given a compact set $E \subset R^{d - 1}$ , $d \geq 1$ , write $K_{E} := [0, 1] \times E \subset R^{d}$ . A theorem of C. Bishop and J. Tyson states that any set of t…