Zeros of<i>H</i>^<i>p</i>functions in several complex variables

Abstract

Let be a strictly pseudoconvex smoothly bounded domain in C n and let Ma be a complex hypersurface in . In this paper I develop a condition that is sufficient to ensure that f=/- (O) for some feH p () (i.e., some / belonging to some Hardy class of ). That condition refers to the growth of the 2n-2 dimensional volume of M as it approaches the boundary d.