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New characterizations of Sobolev metric spaces

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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. Click to show full abstract

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.

Keywords: new characterizations; sobolev metric; characterizations sobolev; metric spaces

Journal Title: Journal of Functional Analysis
Year Published: 2019

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