English

Continuity points via Riesz potentials for $\mathbb{C}$-elliptic operators

Analysis of PDEs 2019-11-19 v1

Abstract

We establish a Riesz potential criterion for Lebesgue continuity points of functions of bounded A\mathbb{A}-variation, where A\mathbb{A} is a C\mathbb{C}-elliptic differential operator of arbitrary order. This result might even be of interest for classical functions of bounded variation.

Keywords

Cite

@article{arxiv.1911.07327,
  title  = {Continuity points via Riesz potentials for $\mathbb{C}$-elliptic operators},
  author = {Lars Diening and Franz Gmeineder},
  journal= {arXiv preprint arXiv:1911.07327},
  year   = {2019}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-23T12:18:34.142Z