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• W2011683371 abstract "We prove that every Sobolev function defined on a metric space coincides with a Holder continuous function outside a set of small Hausdorff content or capacity. Moreover, the Holder continuous function can be chosen so that it approximates the given function in the Sobolev norm. This is a generalization of a result of Malý [Ma1] to the Sobolev spaces on metric spaces [H1]." @default.
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• W2011683371 date "1998-01-01" @default.
• W2011683371 modified "2023-10-16" @default.
• W2011683371 title "Hölder quasicontinuity of Sobolev functions on metric spaces" @default.
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• W2011683371 doi "https://doi.org/10.4171/rmi/246" @default.
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