English

$BV$-packing integral in $\mathbb{R}^n$

Classical Analysis and ODEs 2019-03-13 v1

Abstract

We introduce new integrals (called packing R\mathcal{R} and R\mathcal{R}^* integrals) which combine advantages of integrals developed by Pfeffer, Mal\'y, Kuncov\'a & Mal\'y and Mal\'y & Pfeffer. We prove Gauss-Green theorem in generality of the new integrals and provide comparison with the integrals mentioned above and some others (like MCαMC_{\alpha} by Ball and Preiss).

Cite

@article{arxiv.1903.04908,
  title  = {$BV$-packing integral in $\mathbb{R}^n$},
  author = {Kristýna Kuncová},
  journal= {arXiv preprint arXiv:1903.04908},
  year   = {2019}
}
R2 v1 2026-06-23T08:05:36.738Z