Integral representations on non-smooth domains

Abstract

We derive integral representations for $(0,q)$-forms, $q\ge 1$, on non-smooth strictly pseudoconvex domains, the Henkin-Leiterer domains. A $(0,q)$-form, $f$ is written in terms of integral operators acting on $f$, $\mdbar f$, and $\mdbar^{\ast} f$. The representation is applied to derive $L^{\infty }$ estimates.

24 pages

Cited by in corpus (1)

• Weighted $C^k$ estimates for a class of integral operators on non-smooth domains