Guillaume Valette

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20242026

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math.AG2026

Sobolev embedding theorem and subanalytic measures

Guillaume Valette

We focus on Borel measures that have a globally subanalytic density function. We prove, given such a measure $μ$ on a set $A$ and a globally subanalytic mapping $Φ : A \to Ω$ , with $Ω…

math.AG2026

Inner Lipschitz approximation in o-minimal structures

Nhan Nguyen, Anna Valette, Guillaume Valette

Given an o-minimal structure, we show that every definable (in this structure) mapping that is Lipschitz with respect to the inner metric can be approximated by $C^{1}$ map…

math.AG2024

$L^{p}$ Hodge theory for bounded subanalytic manifolds

Guillaume Valette

Given a bounded subanalytic submanifold of $R^{n}$ , possibly admitting singularities within its closure, we study the cohomology of $L^{p}$ differential forms having an $L^{p}$ …

Sobolev embedding theorem and subanalytic measures

Inner Lipschitz approximation in o-minimal structures

Lp Hodge theory for bounded subanalytic manifolds

$L^{p}$ Hodge theory for bounded subanalytic manifolds