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edited Apr 5, 2019 at 19:14

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Hausdorff dimension of the graph of a BV function

Let $u: \Omega\subset \mathbb{R}^N \to \mathbb{R}^M$ be a $BV$ function.

Is the Hausdorff dimension of the graph of $u$ equal to $N$? How can we prove it?

reference-request fa.functional-analysis real-analysis measure-theory geometric-measure-theory

asked Apr 5, 2019 at 18:52

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