Corpus ID: 210473708

# Rectifiability of the jump set of locally integrable functions

@inproceedings{Nin2020RectifiabilityOT,
title={Rectifiability of the jump set of locally integrable functions},
author={Giacomo Del Nin},
year={2020}
}
• Giacomo Del Nin
• Published 2020
• Mathematics
• In this note we show that for every measurable function on $\mathbb{R}^n$ the set of points where the blowup exists and is not constant is $(n-1)$-rectifiable. In particular, for every $u\in L^1_{loc}(\mathbb{R}^n)$ the jump set $J_u$ is $(n-1)$-rectifiable.

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