Preprint 11/1998

Definitions of Sobolev classes on metric spaces

Bruno Franchi, Piotr Hajlasz, and Pekka Koskela

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Submission date: 28. Feb. 1998
Pages: 25
published in: Annales de l'Institut Fourier, 49 (1999) 6, p. 1903-1924 
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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.

21.02.2013, 01:40