Geodesic
Differentiability from the representation formula and the Sobolev–Poincaré inequality
Valentino Magnani1
1 Dipartimento di Matematica Universitá di Pisa via Buonarroti n. 2, 56127 Pisa, Italy
Studia Mathematica, Tome 168 (2005) no. 3, pp. 251-272

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In the geometries of stratified groups, we provide differentiability theorems for both functions of bounded variation and Sobolev functions. Proofs are based on a systematic application of the Sobolev–Poincaré inequality and the so-called representation formula.
DOI : 10.4064/sm168-3-5
Keywords: geometries stratified groups provide differentiability theorems functions bounded variation sobolev functions proofs based systematic application sobolev poincar inequality so called representation formula

Valentino Magnani 1

1 Dipartimento di Matematica Universitá di Pisa via Buonarroti n. 2, 56127 Pisa, Italy 
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Valentino Magnani. Differentiability from the representation formula and
 the Sobolev–Poincaré inequality. Studia Mathematica, Tome 168 (2005) no. 3, pp. 251-272. doi: 10.4064/sm168-3-5

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