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arXiv · 1506.03965

The Cauchy-Szeg\H o projection for domains in $\mathbb C^n% with minimal smoothness

Loredana Lanzani·Elias M. Stein
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Abstract

We prove $L^p(b D)$-regularity of the Cauchy-Szeg\H o projection (also known as the Szeg\H o projection) for bounded domains $D\subset\mathbb C^n$ whose boundary satisfies the minimal regularity condition of class $C^2$, together with a naturally occurring notion of convexity.

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Loredana Lanzani, Elias M. Stein. 2015-06-12. The Cauchy-Szeg\H o projection for domains in $\mathbb C^n% with minimal smoothness. https://doi.org/10.1215/00127094-3714757

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