Duke Math. J. 166 (1), 125-176, (15 January 2017) DOI: 10.1215/00127094-3714757
Loredana Lanzani, Elias M. Stein
KEYWORDS: Cauchy integral, $T(1)$ theorem, space of homogeneous type, Leray–Levi measure, Cauchy–Szegő projection, Hardy space, Lebesgue space, pseudoconvex domain, minimal smoothness, 30E20, 32A50, 32A55, 32A25, 31A10, 32A26, 42B20, 46E22, 47B34, 31B10
We prove the -regularity of the Cauchy–Szegő projection (also known as the Szegő projection) for bounded domains which are strongly pseudoconvex and whose boundary satisfies the minimal regularity condition of class .