Subelliptic Poincaré inequalities: the case p < 1.
Buckley, Stephen M. ; Koskela, Pekka ; Lu, Guozhen
Publicacions Matemàtiques, Tome 39 (1995), p. 313-334 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p < 1 under some assumptions on the subelliptic gradient of the function. Such inequalities hold on Boman domains associated with the underlying Carnot- Carathéodory metric. In particular, they remain true for solutions to certain classes of subelliptic equations. Our results complement the earlier results in these directions for p ≥ 1.

Publié le : 1995-01-01
DMLE-ID : 3774 
@article{urn:eudml:doc:41233,
     title = {Subelliptic Poincar\'e inequalities: the case p \&lt; 1.},
     journal = {Publicacions Matem\`atiques},
     volume = {39},
     year = {1995},
     pages = {313-334},
     mrnumber = {MR1370889},
     zbl = {0895.26005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41233}
}

Buckley, Stephen M.; Koskela, Pekka; Lu, Guozhen. Subelliptic Poincaré inequalities: the case p < 1.. Publicacions Matemàtiques, Tome 39 (1995) pp. 313-334. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41233/