TY - JOUR
T1 - The Poincaré inequality is an open ended condition
AU - Keith, Stephen
AU - Xiao, Zhong
PY - 2008/3
Y1 - 2008/3
N2 - Let p > 1 and let (X, d, μ) be a complete metric measure space with μ Borel and doubling that admits a (1, p)-Poincaré inequality. Then there exists ε > 0 such that (X, d, μ) admits a (1, q)-Poincaré inequality for every q > p -ε, quantitatively.
AB - Let p > 1 and let (X, d, μ) be a complete metric measure space with μ Borel and doubling that admits a (1, p)-Poincaré inequality. Then there exists ε > 0 such that (X, d, μ) admits a (1, q)-Poincaré inequality for every q > p -ε, quantitatively.
UR - http://www.scopus.com/inward/record.url?scp=49749131648&partnerID=8YFLogxK
U2 - 10.4007/annals.2008.167.575
DO - 10.4007/annals.2008.167.575
M3 - Article
SN - 0003-486X
VL - 167
SP - 575
EP - 599
JO - Annals of Mathematics
JF - Annals of Mathematics
IS - 2
ER -