The Cauchy Integral in $\mathbb C^n$ for domains with minimal smoothness (1311.5167v1)

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.