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Weak curvature conditions and functional inequalities

Journal of Functional Analysis, no. 1 (2007): 311-333

被引用64|浏览7
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摘要

We give sufficient conditions for a measured length space (X,d,ν) to admit local and global Poincaré inequalities, along with a Sobolev inequality. We first introduce a condition DM on (X,d,ν), defined in terms of transport of measures. We show that DM, together with a doubling condition on ν, implies a scale-invariant local Poincaré ineq...更多

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