EXTENDING H^p FUNCTIONS FROM SUBMANIFOLDS OF PSEUDOCONVEX DOMAINS IN C²

Abstract

Let D be a smoothly bounded pseudoconvex domain of finite type in C².Let D_M be a one-dimensional submanifold of D which meets the boundary of D transversally. Then any function in a Hardy space H^p(D_M) extends to the function in the corresponding Hardy space H^p(D).