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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