Jump formulas for singular integrals and layer potentials on rectifiable sets

Tolsa, Xavier

doi:10.1090/proc/15199

Jump formulas for singular integrals and layer potentials on rectifiable sets
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Proc. Amer. Math. Soc. 148 (2020), 4755-4767 Request permission

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 Calderón-Zygmund techniques.

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