%0 Journal Article %T Sobolev spaces on multiple cones %A Pascal Auscher %A Nadine Badr %J Mathematics %D 2008 %I arXiv %X The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from $\RR^n$. The analysis interestingly combines use of Poincar\'e inequalities and of some Hardy type inequalities. %U http://arxiv.org/abs/0812.1146v4