Hardy spaces of holomorphic functions for domains in ${\mathbb{C}}^n$ with minimal smoothness

Abstract

We prove various representations and density results for Hardy spaces of holomorphic functions for two classes of bounded domains in ${\mathbb{C}}^n$, whose boundaries satisfy minimal regularity conditions (namely the classes $C^2$ and $C^{1,1}$ respectively) together with naturally occurring notions of convexity.

arXiv comment22 pages