A Sobolev embedding theorem holds for W^{k,p} spaces on push-forwards of globally subanalytic measures, yielding an embedding into inner Lipschitz functions and a kernel-theory application.
Łojasiewicz, Ensembles semi-analytiques, IHES, 1965available on:https://perso.univ- rennes1.fr/michel.coste/Lojasiewicz.pdf
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Sobolev embedding theorem and subanalytic measures
A Sobolev embedding theorem holds for W^{k,p} spaces on push-forwards of globally subanalytic measures, yielding an embedding into inner Lipschitz functions and a kernel-theory application.