## An integral characterization of Hajlasz-Sobolev space

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.

Published in:
C. R. Acad. Sci. Paris Sér. I Math., 333, 5, 445-450
Year:
2001
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