Sobolev spaces on multiple cones
arXiv:0812.1146
Abstract
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 Poincaré inequalities and of some Hardy type inequalities.
Modifications following the referee's suggestions. Some typos and math typos corrected. Addition of references to Poincaré inequalities on spheres