Anna Valette

activity

20152021

collaborators

4 papers

math.FA2021

Trace operators on bounded subanalytic manifolds

Anna Valette, Guillaume Valette

We prove that if $M \subset R^{n}$ is a bounded subanalytic submanifold of $R^{n}$ such that $B (x_{0}, ε) \cap M$ is connected for every $x_{0} \in M$ and $ε > 0$ sma…

math.AP2020

Poincaré inequality on subanalytic sets

Anna Valette, Guillaume Valette

Let $Ω$ be a subanalytic bounded open subset of $R^{n}$ , with possibly singular boundary. We show that given $p \in [1, \infty)$ , there is a constant $C$ such that for any $u\…

math.AG2019

Efroymson's approximation theorem for globally subanalytic functions

Anna Valette, Guillaume Valette

Efroymson's approximation theorem asserts that if $f$ is a $C^{0}$ semialgebraic mapping on a $C^{\infty}$ semialgebraic submanifold $M$ of $R^{n}$ and if $\…

math.AG2015

A generalized Sard theorem on real closed fields

Anna Valette, Guillaume Valette

We work with semi-algebraic functions on arbitrary real closed fields. We generalize the notion of critical values and prove a Sard type theorem in our framework.