Preprint 11/1998

Definitions of Sobolev classes on metric spaces

Bruno Franchi, Piotr Hajlasz, and Pekka Koskela

Contact the author: Please use for correspondence this email.
Submission date: 28. Feb. 1998
Pages: 25
published in: Annales de l'Institut Fourier, 49 (1999) 6, p. 1903-1924 
Bibtex
Download full preprint: PDF (453 kB), PS ziped (172 kB)

Abstract:
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.

18.07.2014, 01:40