Let Ω be a strictly
pseudoconvex smoothly bounded domain in Cn and let M ⊂ Ω be a complex
hypersurface in Ω. In this paper I develop a condition that is sufficient to ensure that
M = f−1(0) for some f ∈ Hp(Ω) (i.e., some f belonging to some Hardy class of Ω).
That condition refers to the growth of the 2n − 2 dimensional volume of M as it
approaches the boundary ∂Ω.