Article ID Journal Published Year Pages File Type
4615331 Journal of Mathematical Analysis and Applications 2015 26 Pages PDF
Abstract
We provide an integral energy characterization of Hajłasz-Sobolev spaces M1,p(X,E) with p>1, where X is a metric measure space that satisfies weak Poincaré inequality and E is a Banach space with the Radon-Nikodym property. This result extends previously known results, which were originally established on Rn.
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Physical Sciences and Engineering Mathematics Analysis
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