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Are Lipschitz Functions Sobolev? — Lecture 14
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Lipschitz functions are the most natural and easiest to define on a metric space. If we know they are in the Sobolev class, then we will have a immediate supply of Sobolev functions. On the other hand, it is desirable to have Lipschitz functions as a dense subset of Sobolev functions.
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Are Lipschitz Functions Sobolev? — Lecture 14
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