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arXiv · 1811.07837

Jump formulas for singular integrals and layer potentials on rectifiable sets

Xavier Tolsa
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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.

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Xavier Tolsa. 2018-11-19. Jump formulas for singular integrals and layer potentials on rectifiable sets. https://arxiv.org/abs/1811.07837

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