New characterizations of Sobolev metric spaces
classification
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keywords
spacescharacterizationsmetricsobolevbourgain-brezis-mironescudomainsdoublingformulas
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We provide new characterizations of Sobolev ad BV spaces in doubling and Poincare metric spaces in the spirit of the Bourgain-Brezis-Mironescu and Nguyen limit formulas holding in domains of R^N.
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