T. Pauw

activity

20062021

most citedA generalization of Reifenberg's theorem in

R^{3}

10 citations · 11 across the 3 of their papers we have counts for

collaborators

5 papers

math.CA2021★ 1 cited

Localizable locally determined measurable spaces with negligibles

Philippe Bouafia, Thierry De Pauw

We study measurable spaces equipped with a $σ$ -ideal of negligible sets. We find conditions under which they admit a localizable locally determined version -- a kind of fiber space…

math.CA2021

Density estimate from below in relation to a conjecture of A. Zygmund on Lipschitz differentiation

Thierry De Pauw

Letting $A \subset R^{n}$ be Borel measurable and $W_{0} : A \to G (n, m)$ Lipschitzian, we establish that \begin{equation*} \limsup_{r \to 0^+} \frac{\mathcal{H}^m \le…

math.FA2019

Undecidably semilocalizable metric measure spaces

Thierry De Pauw

We characterize measure spaces such that the canonical map $L_{\infty} \to L_{1}^{*}$ is surjective. In case of $d$ dimensional Hausdorff measure of a complete separable metric space $X$ …

math.CA2019

On Lebesgue null sets

Thierry De Pauw

Letting A be a Borel subset of n dimensional Euclidean space, and W(x) be an m dimensional affine subspace containing x and varying in a Lipschitz way according to x, we establish…

math.DG2006★ 10 cited

A generalization of Reifenberg's theorem in $R^{3}$

G. David, T. DePauw, T. Toro

In 1960 Reifenberg proved the topological disc property. He showed that a subset of $R^{n}$ which is well approximated by $m$ -dimensional affine spaces at each point and at each (sma…

Localizable locally determined measurable spaces with negligibles

Density estimate from below in relation to a conjecture of A. Zygmund on Lipschitz differentiation

Undecidably semilocalizable metric measure spaces

On Lebesgue null sets

A generalization of Reifenberg's theorem in R3

A generalization of Reifenberg's theorem in $R^{3}$