Sobolev spaces on multiple cones

Details Sobolev spaces on multiple cones Sobolev spaces on multiple cones

2008-12-05

arxiv.org/abs/0812.1146v4

Mathematics

Classical Analysis and ODEs

Modifications following the referee's suggestions. Some typos and math typos corrected. Addition of references to Poincar\'e i

Scientific paper

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.

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