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arXiv · 1911.07327

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

Lars Diening·Franz Gmeineder
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Abstract

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

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Lars Diening, Franz Gmeineder. 2019-11-17. Continuity points via Riesz potentials for $\mathbb{C}$-elliptic operators. https://arxiv.org/abs/1911.07327

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