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The Lipschitz truncation of functions of bounded variation (1908.10655v1)
Published 28 Aug 2019 in math.AP
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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