Abstract
We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality.
| Translated title of the contribution | An integral characterization of Hajlasz-Sobolev space |
|---|---|
| Original language | French |
| Pages (from-to) | 445-450 |
| Number of pages | 6 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 333 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Sep 2001 |
ASJC Scopus subject areas
- General Mathematics
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