The Poincare inequality is an open ended condition
Date
2008
Authors
Keith, Stephen
Zhong, Xiao
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Princeton University Press
Abstract
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.
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Annals of Mathematics
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Journal article
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2037-12-31
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