Sobolev spaces on multiple cones
classification
🧮 math.CA
math.FAmath.MG
keywords
conesinequalitiesmultiplesobolevspacesanalysisbehavecombines
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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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