Differentiability from the representation formula and the Sobolev-Poincaré inequality
Valentino Magnani
Studia Mathematica, Tome 166 (2005), p. 251-272 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:285260 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-3-5,
     author = {Valentino Magnani},
     title = {Differentiability from the representation formula and the Sobolev-Poincar\'e inequality},
     journal = {Studia Mathematica},
     volume = {166},
     year = {2005},
     pages = {251-272},
     zbl = {1097.26013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-3-5}
}

Valentino Magnani. Differentiability from the representation formula and the Sobolev-Poincaré inequality. Studia Mathematica, Tome 166 (2005) pp. 251-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-3-5/