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Equivalence of Sobolev Spaces
Authors:Gorm Salomonsen
Institution:1. MaPhySto, Institut for Matematiske Fag, ?rhus Universitet, 8000, ?rhus C., Denmark
Abstract:We repair the proof of equivalence of certain L2-Sobolev spaces on manifolds with bounded curvature of all orders from 4]. The results are extended to generalized compatible Dirac operators, fractional order Sobolev spaces and weighted Sobolev spaces. A certain way of doing coordinate free computations is presented.
Keywords:
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