10 citations · 11 across the 6 of their papers we have counts for
6 papers
A brief review of Radon-Nikodýmification
Thierry De Pauw
We review recent results on Radon-Nikodýmification of abstract measure spaces, the particular case of integral geometric measure, and applications to the dual of SBV.
Localizable locally determined measurable spaces with negligibles
Philippe Bouafia, Thierry De Pauw
We study measurable spaces equipped with a -ideal of negligible sets. We find conditions under which they admit a localizable locally determined version -- a kind of fiber space…
Density estimate from below in relation to a conjecture of A. Zygmund on Lipschitz differentiation
Thierry De Pauw
Letting be Borel measurable and Lipschitzian, we establish that \begin{equation*} \limsup_{r \to 0^+} \frac{\mathcal{H}^m \le…
Undecidably semilocalizable metric measure spaces
Thierry De Pauw
We characterize measure spaces such that the canonical map is surjective. In case of dimensional Hausdorff measure of a complete separable metric space …
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…
A generalization of Reifenberg's theorem in
G. David, T. DePauw, T. Toro
In 1960 Reifenberg proved the topological disc property. He showed that a subset of which is well approximated by -dimensional affine spaces at each point and at each (sma…