The Cauchy-Szegő projection for domains in Cn with minimal smoothness

Loredana Lanzani, Elias M. Stein

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.

ArXiv: 1506.03965