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A remark on Poincare inequalities on metric measure spaces

Keith, Stephen; Rajala, Kai


We show that, in a complete metric measure space equipped with a doubling Borel regular measure, the Poincaré inequality with upper gradients introduced by Heinonen and Koskela is equivalent to the Poincaré inequality with "approximate Lipschitz constan

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Mathematica Scandinavica


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