Jump formulas for singular integrals and layer potentials on rectifiable sets
Classical Analysis and ODEs
2019-11-05 v3 Analysis of PDEs
Abstract
In this paper the jump formulas for the double layer potential and other singular integrals are proved for arbitrary rectifiable sets, by defining suitable non-tangential limits. The arguments are quite straightforward and only require some Calder\'on-Zygmund techniques.
Cite
@article{arxiv.1811.07837,
title = {Jump formulas for singular integrals and layer potentials on rectifiable sets},
author = {Xavier Tolsa},
journal= {arXiv preprint arXiv:1811.07837},
year = {2019}
}
Comments
Correction of a few typos in this version