Pseudo-differential operators on manifolds with conical singularities
Yu. V. Egorov, Bert‐Wolfgang Schulze · Birkhäuser Basel eBooks · 1997
We now return to the weighted Sobolev spaces Hs,γ(B), Hs,γ(X^ of 7.1.2 Definition 10 and (7.72). We shall introduce Fréchet subspaces with conormal asymptotics. First, by definition, there is a diffeomorphism κ of a collar neighbourhood V of ∂B to [0,c) × X, X ≅ ∂B, c > 0, that is kept fixed. For every cut-off function ω(r) supported by [0, c) we get a cut-off function ω = κ*ω on B.