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arXiv · 1908.10655

The Lipschitz truncation of functions of bounded variation

Dominic Breit·Lars Diening·Franz Gmeineder
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Abstract

We construct a Lipschitz truncation which approximates functions of bounded variation in the area-strict metric. The Lipschitz truncation changes the original function only on a small set similar to Lusin's theorem. Previous results could only give estimates on the Lebesgue measure of the set where the Lipschitz approximations differ from the original function.

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Dominic Breit, Lars Diening, Franz Gmeineder. 2019-08-28. The Lipschitz truncation of functions of bounded variation. https://arxiv.org/abs/1908.10655

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