Abstract
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.
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© 1997 Springer Basel AG
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Egorov, Y.V., Schulze, BW. (1997). Pseudo-differential operators on manifolds with conical singularities. In: Pseudo-Differential Operators, Singularities, Applications. Operator Theory: Advances and Applications, vol 93. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8900-1_8
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DOI: https://doi.org/10.1007/978-3-0348-8900-1_8
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-8900-1
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