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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
11/1998Definitions of Sobolev classes on metric spaces
Bruno Franchi, Piotr Hajlasz and Pekka KoskelaAbstract
There have been recent attempts to develop the theory of Sobolev spaces W1,p on metric spaces that do not admit any differentiable structure. We prove that certain definitions are equivalent. We also define the spaces in the limiting case p=1.
- Received:
- 28.02.98
- Published:
- 28.02.98
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