{$L\sp p$}-extension of holomorphic functions from submanifolds to strictly pseudoconvex domains with non-smooth boundary

Abstract

Let $D$ be a bounded strictly pseudoconvex domain in ${\mathbb C}^{n}$ (with not necessarily smooth boundary) and let $X$ be a submanifold in a neighborhood of $\overline{D}$. Then any $L^{p}$ $(1 \leq p < \infty)$ holomorphic function in $X \cap D$ can be extended to an $L^{p}$ holomorphic function in $D$.