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math.CA2021★ 1 cited
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…
math.CA2021
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…