arXiv:1908.10655 Abstract | arXiv Analytics

arXiv:1908.10655 [math.AP]Abstract References Reviews Resources

The Lipschitz truncation of functions of bounded variation

Dominic Breit, Lars Diening, Franz Gmeineder

Published 2019-08-28Version 1

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.

Categories: math.AP

Subjects: 26B30, 26B35

Keywords: bounded variation, original function, lipschitz approximations differ, lipschitz truncation changes, small set similar

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