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Jump formulas for singular integrals and layer potentials on rectifiable sets
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-08-17 , DOI: 10.1090/proc/15199
Xavier Tolsa

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.


中文翻译:

可整流集合上奇异积分和层势的跳跃公式

摘要:本文通过定义合适的非切线极限,证明了任意可整流集的双层电势和其他奇异积分的跳跃公式。这些论点非常简单,只需要一些Calderón-Zygmund技术。
更新日期:2020-09-02
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