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Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 1999-32
September 1999

Equivalence of Sobolev Spaces


Gorm Salomonsen


We repair the proof of equivalence of certain L^2-Sobolev spaces on manifolds with bounded curvature of all orders from [Dz2]. 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.

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This paper has now been published in Result Math. 39, 115-130 (2001)