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arXiv · 1311.5167

The Cauchy Integral in $\mathbb C^n$ for domains with minimal smoothness

Loredana Lanzani·Elias M. Stein
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Abstract

We prove $L^p(b\mathcal{D})$-regularity of the Cauchy-Leray integral for bounded domains $\mathcal{D}\subset\mathbb C^n$ whose boundary satisfies the minimal regularity condition of class $C^{1,1}$, together with a naturally occurring notion of convexity.

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Loredana Lanzani, Elias M. Stein. 2013-11-20. The Cauchy Integral in $\mathbb C^n$ for domains with minimal smoothness. https://arxiv.org/abs/1311.5167

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