Subelliptic Poincaré inequalities: the case p < 1.

Buckley, Stephen M., Koskela, Pekka, and Lu, Guozhen. "Subelliptic Poincaré inequalities: the case p &lt; 1.." Publicacions Matemàtiques 39.2 (1995): 313-334. <http://eudml.org/doc/41233>.

@article{Buckley1995,
abstract = {We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p &lt; 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.},
author = {Buckley, Stephen M., Koskela, Pekka, Lu, Guozhen},
journal = {Publicacions Matemàtiques},
keywords = {Ecuaciones diferenciales elípticas; Campos vectoriales; Problema de Poincaré; Operadores diferenciales; Poincaré inequality; weak reverse Hölder condition; the case ; subelliptic gradient; Hörmander condition},
language = {eng},
number = {2},
pages = {313-334},
title = {Subelliptic Poincaré inequalities: the case p &lt; 1.},
url = {http://eudml.org/doc/41233},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Buckley, Stephen M.
AU - Koskela, Pekka
AU - Lu, Guozhen
TI - Subelliptic Poincaré inequalities: the case p &lt; 1.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 2
SP - 313
EP - 334
AB - We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p &lt; 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.
LA - eng
KW - Ecuaciones diferenciales elípticas; Campos vectoriales; Problema de Poincaré; Operadores diferenciales; Poincaré inequality; weak reverse Hölder condition; the case ; subelliptic gradient; Hörmander condition
UR - http://eudml.org/doc/41233
ER -