LP extension of holomorphic functions from submanifolds to strictly pseudoconvex domains with non-smooth boundary

Let D be a bounded strictly pseudoconvex domain in C-n (with not necessarily smooth boundary) and let X be a submanifold in a neighborhood of (D) over bar. Then any L-p (1 less than or equal to p less than or equal to infinity) holomorphic function in X boolean AND D can be extended to an LP holomorphic function in D.