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math.AP2021
Uniform Poincaré inequality in o-minimal structures
Anna Valette, Guillaume Valette
We first define the trace on a domain which is definable in an o-minimal structure. We then show that every function vanishing on the boundary in the trace se…
math.FA2021
Trace operators on bounded subanalytic manifolds
Anna Valette, Guillaume Valette
We prove that if is a bounded subanalytic submanifold of such that is connected for every and sma…