Publication

An integral characterization of Hajlasz-Sobolev space

Marc Troyanov
2001
Journal paper

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.

Official source

https://infoscience.epfl.ch/record/114951?ln=en

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An integral characterization of Hajlasz-Sobolev space

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